43 Calculus Tutorials

These Calculus tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Calculus help you need, whether through these tutorials or through private tutoring lessons.

Another look on continuous functions.

The definition of Continous Functions may be a little hard to understand, so lets give it another look on how you can conclude that a function is continuous.

A Comprehensive Guide to Extrema and Inflection Points

In Single-Variable Calculus, one of the core concepts that is always tested is determining extrema, inflection points, and saddle points. This is ESPECIALLY the case on the AP Calculus AB/BC exam. This article is a review of the process of finding extrema/inflection points given a function f(x), and understanding the graphical representations of these points.

How to Classify Differential Equations

Differential equations can be classified into a myriad of different groups, and these can be hard to keep track of. However, identifying these qualities are critical in developing a solution. As such, it is a crucial skill to be able to identify the classifications of a differential equation. The classifications are as follows: 1. ODE…

Limits

Limits are the underlying base to Calculus. We do not usually look at them as we work, but they are in virtually everything we do. They are a strange idea for math as well, because they are based on our perception rather than some calculation we do. To take a limit of a function, we…

intro to chain rule

The chain rule in calculus is finding the derivative for two or more products of themselves. For example F(x)= (x+3)^4 where F(x)= G(H(x)) and G(x)= (x)^4, H(x)= x+3. Then you would use the chain rule to find the derivative. This rule is simple, yet it can be hard to differentiate the different individual functions. So…

continuation of chain rule

The chain rule in calculus is finding the derivative for two or more products of themselves. For example F(x)= (x+3)^4 where F(x)= G(H(x)) and G(x)= (x)^4, H(x)= x+3. Then you would use the chain rule to find the derivative. This rule is simple, yet it can be hard to differentiate the different individual functions. So…

Continuity

This is a question with 2 equations, it will help show if an equation is continous or not based on if all the values in the equation give us a real answer or not and how to find what kind of continuity without a graph

The mean value theorem

the mean value theorem (MVT) is an extremely important theorem in calculus. it states that: If f is continuous on the compact a≤x≤b and differentiable on a< x

Implicit Differentiation Application: Sphere to Surface Area

Implicit differentiation is one of the most commonly used techniques in calculus, especially in word problems. It takes advantage of the chain rule that states: df/dx = df/dy * dy/dx Or the fact that the derivative of one side is the derivative of the other. Simple example: derivative of x + y = 3 is:…

Trigonometric Integrals

Still in integration where our objective is to find the anti derivative of a certain function, in this case trigononetric functions. But first we will be dealing with simple trigonometric integrals.

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