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# What does y' mean in calculus

### What does y'' mean in calculus? Is there a word for it

• The symbol y′′ y ″ represents the double derivative or the second derivative of a function y y. It represents the value of a function... See full answer below. Become a member and unlock all Study..
• In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis. How do you interpret the Y-intercept
• This makes sense since slope is defined as the change in the y variable for a given change in the x variable. Suppose x goes from 10 to 11; y is still equal to 15 in this function, and does not change, therefore the slope is 0. Note that this function graphs as a horizontal line. Now, add another term to form the linear function y = 2x + 15
• In calculus and analysis, constants and variables are often reserved for key mathematical numbers and arbitrarily small quantities. The following table documents some of the most notable symbols in these categories — along with each symbol's example and meaning. π. If f ( x) → L, then f ( x) 2 → L 2
• Y' (x) means y prime of x. Prime means the derivative. Dx/dy also means the derivative. It's just different ways of writing the same thing
• The table provided below has a list of all the common symbols in Maths with meaning and examples. There are so many mathematical symbols which are very important to students. To understand this in an easier way, the list of mathematical symbols are noted here with definition and examples
• Calculus is an area of math that deals with change. It has two main parts: Differential and Integral Calculus. Differential Calculus is based on rates of change (slopes and speed). Integral Calculus is based on accumulation of values (areas and accumulated change). Both parts of calculus are based on the concept of the limit ### What does Y mean in algebraic expression? - Mvorganizing

• The phrase with respect to (symbol) is used as a way of disambiguating the function interpretation of an expression involving more than one symbol. For example, you might see a question which asks > Find the derivative of $x^2 + y^2$.
• horizontal stretch; x x -values are doubled; points get farther away. from y y -axis. vertical stretching/shrinking changes the y y -values of points; transformations that affect the y y -values are intuitive. horizontal stretching/shrinking changes the x x -values of points; transformations that affect the x x -values are counter-intuitive
• Its y = (1.374e-2)x - 5.706e-4. thanks for any more help. I no longer know much from Physics or Mechanics, but if you have original data which would fit a curve for an exponential function, you could treat your data or your model equation so that it would work as a linear function. One set of coordinates might go onto semilog number scale and.
• It is called the differential of xy, and denotes the linear approximation of the increment of xy when x and y have small increments h and k : Δ(xy) = (x + h)(y + k) − xy = xh + yk ⏟ linear part in h, k + hk = d(xy)(h, k) + hk
• Differential calculus. The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point. In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change

### Rules of calculus - functions of one variabl

• Limit Notation. Mathematicians have a special notation to indicate they are working with limit values. For example, the answer to Example 1 would be written like this: Example 2. Suppose f ( x) = sin. ⁡. x x. What is lim x → 0 f ( x) = ? It is tempting to just plug in x = 0 to try to get an answer, but if we try
• y = y (x) is overloaded as y can now be used to refer both to a function y: D → C and a variable y ∈ C. This is a dangerous practice which can cause students a world of pain. Consider the following elementary application of the chain rule
• It is a predication that means that some relation or property holds true for at least one object in the domain
• For the usual y = f(x), the input is x and the output is y. For the INVERSE function x = f^-1(y), the input is y and the output is x. If y equals x cubed, then x is the cube root of y : that is the inverse. If y is the great function e^x, then x is the NATURAL LOGARITHM ln y. Start at y, go to x = ln y, then back to y = e^(ln y)

Calculus, originally called infinitesimal calculus or the calculus of infinitesimals, is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes. Symbol Symbol Name Meaning / definition Example; x: x variable: unknown value to find: when 2x = 4, then x = 2: ≡: equivalence: identical to: ≜: equal by definition: equal by definitio The Meaning of Slope and y-Intercept in the Context of Word Problems Purplemath In the equation of a straight line (when the equation is written as y = mx + b ), the slope is the number m that is multiplied on the x , and b is the y - intercept (that is, the point where the line crosses the vertical y -axis) The meaning is: (x,y) is an ordered pair of numbers belonging to R × R = R2. The first pair memeber belongs to the first set R and the second belongs to second R. Althoug in this case is the same set R. Could be in other cases R × Z or Q ×

Section 4-7 : The Mean Value Theorem. In this section we want to take a look at the Mean Value Theorem. In most traditional textbooks this section comes before the sections containing the First and Second Derivative Tests because many of the proofs in those sections need the Mean Value Theorem What does delta mean in calculus? The lowercase letter δ (or ) can be used to denote: A change in the value of a variable in calculus. A Functional derivative in Functional calculus. An auxiliary function in calculus, used to rigorously define the limit or continuity of a given function The name of the function is the input is x and the output is f (x), read f of x. The output f (x) is sometimes given an additional name y by y = f (x). The example that comes to mind is the square root function on your calculator. The name of the function is \sqrt {\;\;} and we usually write the function as f (x) = \sqrt {x} OK, but how does calculus models change? What is calculus like? The fundamental idea of calculus is to study change by studying instantaneous change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time

### List of Calculus and Analysis Symbols Math Vaul

1. Similarly one may ask, what does x0 mean in math? The letter x is often used in algebra to mean a value that is not yet known.It is called a variable or sometimes an unknown. In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be x, it could be y, w or any letter, name or symbol.Similarly, what is a calculus function
2. utes, - angular seconds. Example: 75o20'39 which stands for: 75 degrees, 20
3. In Introduction to Derivatives (please read it first!) we looked at how to do a derivative using differences and limits.. Here we look at doing the same thing but using the dy/dx notation (also called Leibniz's notation) instead of limits.. We start by calling the function y: y = f(x) 1. Add Δx. When x increases by Δx, then y increases by Δy
4. What Is a Y-Intercept in Math?. Part of the series: Advanced Math. The Y-intercept is a very important part of mathematics, especially when it comes to graph..
5. A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient
6. Y is equivalent to f(x), as y is a function of x itself. f′′(x), d 2 y/dx. Both of these symbols represent the second derivative of the function, which means you take the derivative of the first derivative of the function. You would read it simply as The second derivative of f of x. f n (x), d n * y/dx. These symbols represent the nth.
7. (Topic 8 of Precalculus.) A straight line has one and only one slope; one and only one rate of change. If x represents time, for example, and y represents distance, then a. straight line graph that relates them indicates constant speed. 45 miles per hour, say -- at every moment of time

Volume = ∬ R f (x,y) dA Volume = ∬ R f ( x, y) d A. We can use this double sum in the definition to estimate the value of a double integral if we need to. We can do this by choosing (x∗ i,y∗ j) ( x i ∗, y j ∗) to be the midpoint of each rectangle. When we do this we usually denote the point as (¯. ¯. ¯xi,¯ Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of mathematics, and underpins many of the equations that describe physics and.. A div of zero means there's no net flux change in side the region. In plain english: Math Intuition. Now that we have an intuitive explanation, how do we turn that sucker into an equation? The usual calculus way: take a tiny unit of volume and measure the flux going through it. We need to add up the total flux passing through the x, y and z. Also, what does the expression [de/dt] mean? Note: in case you think that the d's are variables, and should cancel out in this fraction, think again: this is no ordinary quotient! The d letters represent a calculus concept known as a differential, and a quotient of two d terms is called a derivative Read below. Mainly used for Difference between two given values, it is used a lot in derivatives. If we have any line on a graph, its slope is (y_2-y_1)/(x_2-x_1) This means the change in y value over the change is x value which can be rewritten as (Deltay)/(Deltax) Calculus stuff... Now, more interestingly, as these difference gets closer and closer to zero, we can say that we get closer.

Let's start with an easy transformation. y equals a times f of x plus k. Here's an example y equals negative one half times the absolute value of x plus 3. Now first, you and I ide- identify what parent graph is being transformed and here it's the function f of x equals the absolute value of x. And so it helps to remember what the shape of that. we mean the derivative of the function f(x) with respect to the variable x. One type of notation for derivatives is sometimes called prime notation. The function f´(x), which would be read f-prime of x'', means the derivative of f(x) with respect to x. If we say y = f(x), then y´ (read y-prime'') = f´(x) There are different types of math transformation, one of which is the type y = f (bx). This type of math transformation is a horizontal compression when b is greater than one. We can graph this math transformation by using tables to transform the original elementary function. Other important transformations include vertical shifts, horizontal. It is customary not to assign a slope to these lines. This is true as long as we assume that a slope is a number. But from a purely geometric point of view, a curve may have a vertical tangent. Think of a circle (with two vertical tangent lines). We still have an equation, namely x=c, but it is not of the form y = ax+b. In fact, such tangent. ∂y/∂x is the gradient of the tangent through a point on the surface y=f(x,z,...) in the direction of the x axis. The lower case delta just indicates a small change - not an infinitesimally small change. It's a short-hand notation whose meaning depends on the context

### [Calculus] Is y' the same as dy/dx? : HomeworkHel

• Exhibits page Math 21a 2008, Multivariable Calculus. Assume we have a function f(x,y) of two variables like f(x,y) = x 2 y. The partial derivative f x is the rate of change of the function f in the x direction. We also can see that xx means: it is positive if the surface is bent concave up in the x direction and negative if it is bent concave down in the x direction
• g. It is a Turing complete language; that is to say, any machine which can compute the lambda calculus can compute everything a Turing machine can (and vice versa)
• Injective means we won't have two or more As pointing to the same B. So many-to-one is NOT OK (which is OK for a general function). Surjective means that every B has at least one matching A (maybe more than one). There won't be a B left out. Bijective means both Injective and Surjective together

Recall that a line can be written as $$y=m(x-x_0)+y_0$$ where $$m$$ is the slope of the line and $$(x_0,y_0)$$ is a point on the line. Using this information we are in a position to quickly find the equation for the tangent line to a curve at a point. Specifically, we have the following definition. The Tangent Lin The mean is the average value of the data. Consider the following two sequences of data: f10;20;30;40;50gand f30;30;30;30;30g. Both sets have the same mean; however, the ﬁrst data set has greater variation about the mean. This leads to the concept of variance, which is a useful tool to quantify how much a set of data ﬂuctuates about its mean If it does not you have an underpowered browser. After these preliminaries, we can now get into the meat of the matter. The equation (*) is the key to everything. The number b is the base, the number x the exponent, and the expression that equals y is a power The phrase if and only if is used commonly enough in mathematical writing that it has its own abbreviation. Sometimes the biconditional in the statement of the phrase if and only if is shortened to simply iff.. Thus the statement P if and only if Q becomes P iff Q.. Taylor, Courtney (x ? y) % 255 Obviously % 255 is the modulus function but I can't think what they mean by the question mark. All my experience of programming tells me that ? is conditional such as x > y ? 1 : 2 but I don't think that is the case here

### Mathematical Symbols (Math Symbols with Definition and

• ing which feature of a linear model (the slope, the x-intercept, or the y-intercept) is useful for answering a given question in context. Applying intercepts and slope. Slope, x-intercept, y-intercept meaning in context. Slope and intercept meaning in context. This is the currently selected item
• The number 3 is directional growth in a single dimension (the x-axis, let's say), and 4 is directional growth in that same direction. 3 x 4 = 12 means we get 12x growth in a single dimension. Ok. Now, suppose 3 and 4 refer to different dimensions. Let's say 3 means triple your bananas (x-axis) and 4 means quadruple your oranges (y-axis)
• Resources for further math and math a level? Asking for Help Stop my calculator showing fractions as answers? y = 1E+07x + 2E+06 - What does it mean? Tips on passing Functional skills Maths level 2 Mechanics help What is P(A' n B') if P(A)=0.4, P(B)=0.3 and P(A n B)=0.1
• For example, the function f ( x) = 1 x only makes sense for values of x that are not equal to zero. Its domain is the set { x ∈ R: x ≠ 0 }. In other words, it's the set of all real numbers that are not equal to zero. So, a function is differentiable if its derivative exists for every x -value in its domain
• This expression means form the product of x multiplied by y, starting at x 1 and y 1 and ending with x n and y n and then sum the products. In this expression c is a constant, i.e. an element which does not involve the variable of summation and the sum involves n elements
• Answer. It's the factorial sign (!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1. 2! = 2×1 = 2. 3! = 3×2×1 = 6. 4! = 4×3×2×1 = 24. 5! = 5×4×3×2×1 = 120

### What is Calculus? Calculus is the study of change, and

Math is required, of course, but some managers still might be perplexed by certain equations, such as the commonly used Six Sigma formula Y=f(x). Luckily, it doesn't take a rocket scientist to understand and use Y=f(x) because it's a corner stone of the Six Sigma methodology and can be very useful when applying the acronym DMAIC (Define. Differential calculus is also useful for graphing. A very similar problem is to find the slope (how steep it is) at any point on a curve.The slope of a straight line is easy to work out — it is simply how much it goes up or down (y or vertical) divided by how much it goes across (x or horizontal).On a curve, however, the slope is a variable (has different values at different points) because.

Common Core Math: Geometric Reflection over Y= - In contrast, we can say that for the triple integral, we're integrating a multivariable function for density f(x,y,z) for the volume B which is defined for x on the interval [a,b] and for y on the interval [c,d] and for z on the interval [r,s], by slicing the volume in three direction to get tiny pieces (or boxes) of volume, in order to find. Thus 2xy means 2 times x times y or said algebraically 2xy = 2 \times x \times y. If you want the operation between two symbols to be something else, like plus, you have to say it explicitly. Thus for x plus y you need to write x + y. Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences What does range and domain mean in math. Is the relation a function. Is the relation a function. Given a graph andor verbal description of a situation both continuous and discrete the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations That line: y (:,:, [2 3])=0; Picks the Blue and Green channel and makes them to zero. Note that a RGB image is read as 3D matrix into matlab. Before asking any question, you can simply have a small trial in MATLAB. Like check the below example code: A = rand (2,2,3) % creates a 3D random matrix of size 2*2*3. A (:,:, [2 3])=0 % this lines makes.

### What does 'respect to x' mean in calculus? - Quor

Apr 19, 2008. #3. You get 3E−05 3 E − 05. That just means .00003. Kind of like scientific notation. Your line equation is y=.0526x +.00003 y = .0526 x + .00003. If you have a calculator you can set the exponential format to engineering and it'll display that way. You can probably change it in Excel as well A circled X in math can mean a few different things depending on the context. Find out what a circled X means in math with help from a professional private tutor in this free video clip

### Horizontal and Vertical Stretching/Shrinking - Tree of Mat

1. When you were first learning calculus, you learned how to calculate a derivative and how to calculate an integral. You also learned some notation for how to represent those things: f'(x) meant the derivative, and so did dy/dx , and the integral was represented by something like
2. algebra trigonometry statistics calculus matrices variables list. Related Concepts. The basic feature of the median in describing data compared to the mean is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a typical value. Median income, for example, may be.
3. The mean value theorem says that the average speed of the car (the slope of the secant line) is equal to the instantaneous speed (slope of the tangent line) at some point (s) in the interval. The average velocity is. Δ y Δ x = 10 km − 0 0.5 hr − 0 = 20 km/hr
4. imum. But it is not always so. Just a moment! The derivative f'(x) is the rate of change of the value of function relative to the change of x. So f'(x 0) = 0 means that function f(x) is almost constant around the value x 0
5. Example: y = 2x + 1 is a linear equation: The graph of y = 2x+1 is a straight line. When x increases, y increases twice as fast, so we need 2x. When x is 0, y is already 1. With this in view what does linear mean in math? A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between.

### y as a function of x meaning Physics Forum

In symbols, Integrate y with Respect to x is written as: ∫ydx Where: ∫ is the integration symbol, dx means with respect to x. To solve this type of problem, just place the given function in place of the y in ∫ydx, then integrate (using the usual rules of integration). How to integrate y with respect to x: Power function. The first point you get will always be on the X portion of the graph, and the second number will always be the Y. For example, (2,3) means 2 spaces on the x-axis and 3 on the y-axis. A collection of points on an X Y graph is called a Scatter Plot because it looks like a scattered set of points

### calculus - What is meant by $d(xy)$? - Mathematics Stack

1. In math x and y means unknown answer. The mystery numbers are always different like x doesn't mean 3 and y doesn't mean 0. What does top of mean in math? If x was on top of y, it would be x/y
2. Objectives: In this tutorial, we define what it means for a function to be symmetric with respect to the y-axis and the origin. Algebraic conditions for these two types of symmetry are obtained from the geometrical definitions. Some examples of functions illustrate these different symmetries
3. As a column heading, x means a series of data values. x̅ x-bar = mean of a sample. Defined here in Chapter 3. x̃ x-tilde = median of a sample. Defined here in Chapter 3. ŷ y-hat = predicted average y value for a given x, found by using the regression equation. Defined here in Chapter 4. z = standard score or z-score.
4. ing the changes between the values that are related to the functions
5. f (x,y,z) is a function in x,y and z. In R 3, the function lies in all three planes so to speak. The domain of a function of three variables is R 3 or a subset of it. The graph of w = f (x, y, z) is the set of ordered quadruples (x, y, z, w) such that w = f (x, y, z). Such a graph requires four dimensions: three for the domain and one for the.
6. An absolute value function has a unique V shape when plotted on a graph. This is due to the fact that the absolute value of a negative number makes that number positive. The absolute value parent function. The absolute value parent function is written as: f (x) = │x│ where: f (x) = x if x > 0. 0 if x = 0. -x if x < 0
7. This is the notation introduced by Leibniz. (Wilhelm Gottfried Leibniz (1646-1716) and Isaac Newton (1642-1727) are considered the inventors of Calculus.) The Geometrical Concept of the Derivative Consider a function y = f(x) and its graph

### Differential calculus - Wikipedi

1. Translate. If you define a bidimensional array y, and you want to access all its elements on the first column: y (:,1) will do it. If you want to access to all the elements of the fift row: y (5,:) is the syntax you have to use. The colon means: take all the elements along the specified dimension. --Franco 18:36, 29 September 2006 (PDT
2. Accepted Answer. It's the index into 'A', so that 'y=A (i)'. It returns the index of the first instance of the unique values. If you want all of them (indirectly), you have to ask for the third argument as well. Sign in to answer this question
3. Calculus 1. Course summary; Limits and continuity. Limits intro: Mean value theorem: Analyzing functions Extreme value theorem and critical points: Analyzing functions Intervals on which a function is increasing or decreasing: Analyzing functions Relative (local).
4. the illustration below shows the graph of y is a function of X so that's this graph right over here and then they start to ask us some questions complete the sentences based on the graph of the function so this X is our y axis or vertical axis horizontal axis is x axis initially as x increases let's think about initially so when we start from x equals 0 and X is increasing what's happening to.
5. The only thing the limit does is to move the two points closer to each other until they are right on top of each other. But the fundamental calculation is still a slope. So the end result is the slope of the line that is tangent to the curve at the point $$(x, f(x))$$
6. However, the curve y = e x has two special properties. For any value of x , the value of y equals the value of the slope of the graph at that point, and it also equals the area under the curve up to that point. This makes e an especially important number in calculus and in all the areas of science that use calculus
7. The Mean Value Theorem states that if is continuous over the closed interval and differentiable over the open interval then there exists a point such that the tangent line to the graph of at is parallel to the secant line connecting and. Figure 5. The Mean Value Theorem says that for a function that meets its conditions, at some point the.

The composite functions of higher math often use h(x) and g(x), in combinationdefining which comes first, and which is second. The substitution is bad enough, but using y's would make it worse.. In summary, feel free to immediately use y = instead of h(x), if it clarified the problem What does it mean? Literal meaning. Chords of the form X/Y, read X over Y, and sometimes called slash chords, mean. play chord X, making Y the lowest note. For example, the first of the Queen chords, Bb7/D, means play a Bb7 chord, and make the lowest note a D Updated October 23, 2019. Exponential functions tell the stories of explosive change. The two types of exponential functions are exponential growth and exponential decay. Four variables (percent change, time, the amount at the beginning of the time period, and the amount at the end of the time period) play roles in exponential functions If z varies jointly with respect to x and y , the equation will be of the form z = kxy (where k is a constant). Equation: c = 5 ab. Variable c is jointly proportional to a and b. That means c is directly proportional to both a and b. Doubling a causes c to double. Doubling b causes c to double. Doubling both a and b causes c to quadruple

### What is a limit in Calculus? A Limit is simply

Well, the meaning of 0/0, in this situation, is, I take the limit of this one, which does have a meaning, because those are true numbers. They're little numbers but they're numbers. And this was this, so now here's the big step, leaving algebra behind, going to calculus in order to get what's happening at a point A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations. In an arithmetic sequence, which is a list of numbers that follow a pattern, n is a variable representing the number of the term to find. For instance, if students want to find the value of the seventh term, n would be 7 Math and Arithmetic Answer: If you mean the equation y = 7x, just choose ANY value for x; then you can calculate the corresponding value for y by multiplying it by 7, in this case Risolvi i problemi matematici utilizzando il risolutore gratuito che offre soluzioni passo passo e supporta operazioni matematiche di base pre-algebriche, algebriche, trigonometriche, differenziali e molte altre

So, if one of them tells you how delta u delta v relate to delta x delta y, the other one does the opposite thing. It means they are the inverse matrices. And, the determinant of the inverse matrix is the inverse of the determinant. So, they are really interchangeable. I mean, you can just compute whichever one is easiest Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how spread out the values in a data set are. This is the currently selected item Definition of felicific calculus in the Definitions.net dictionary. Meaning of felicific calculus. What does felicific calculus mean? Information and translations of felicific calculus in the most comprehensive dictionary definitions resource on the web ### functions - What does y=y(x) mean? - Mathematics Stack

With more than 1,000,000 human-edited definitions, Acronym Finder is the world's largest and most comprehensive dictionary of acronyms, abbreviations, and initialisms. Combined with the Acronym Attic , Acronym Finder contains more than 5 million acronyms and abbreviations. You can also search for more than 850,000 US and Canadian postal codes This video will show you that product means multiply. So if you need to work out the product of 7 and 6 you work out 7 times 6 to give 42. So just remember t.. The largest value in the list is 21, and the smallest is 13, so the range is 21 - 13 = 8. mean: 15. median: 14. mode: 13. range: 8. Note: The formula for the place to find the median is ( [the number of data points] + 1) ÷ 2 , but you don't have to use this formula

### math - What is the meaning of ∃? - Stack Overflo

What does X = [X Y] mean ? Letter = read_letter (img, num_letters) %read_letter is the file function to correlate my .mat with character image (img) and then determining that img as a letter eg. ('a','b' or 'c' ect.) So the question is. Are the values inside of Word variable are letters Definition of math in the Definitions.net dictionary. Meaning of math. What does math mean? Information and translations of math in the most comprehensive dictionary definitions resource on the web

### Inverse Functions f ^-1 (y) and the Logarithm x = ln y

The World's most comprehensive professionally edited abbreviations and acronyms database All trademarks/service marks referenced on this site are properties of their respective owners 2*f (x) means two multiplied by the function f. f (2x) means the function at 2x; or the value of the function evaluated at 2x. Giving a name f to a function for the function using independant variable x will be named as f (x), to be read, the function f of x. Shown alone, f and x are not factors, but are a complete name Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more

### Video: Calculus - Wikipedi       