8 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.

Find radius and height of a cylindrical container with Minimum Cost of Construction

This is another hot topic that will absolutely have one or more problems on your calculus exam. For this type of problem first you’ll need an equation of height in terms of radius, so that you can end up with only a variable of r for the equation of minimum cost. Next is to calculate…

First Derivative Max/Min Optimization

This is one of the most popular concepts that you will be asked in your college calculus courses. Finding maximum and minimum values of a given equation or graph. This type of problem often requires you to craft an equation with only one variable for taking the first derivative so you can find max or…

How to figure out word problems.

Many times, while learning calculus, you will run into concepts that you understand, but can’t quite figure out in word problems. I will write a short guide that will give you a couple of things to think about before starting the problem, and a couple of tips in general. Some of these concepts could be…

Advanced Integration: Integrate 1/e^x((4+e^(2x))^(1/2)) dx

Advanced Integration

    \[\int\frac{1}{e^x}\big((4+e^{2x})^\frac{1}{2}\Big)\ dx\]

This is a very loaded integral. I highly doubt you would ever see this in a standard undergraduate calculus course. It was fun!

How to find the derivative of an equation

In Calculus, you will need to know how to find the derivative of an equation to solve many problems. So here is how to find the derivative effectively!

Calculus Integration

Calculus is how different things vary with respect to one another. There are two main components, differentiation and integration. We will do an integration problem here.


One of the most useful applications of Calculus in everyday life is finding the rate of change of a function. Finding the Trajectory of a moving object is a direct example of such. This tutorial will help explain how to use basic calculus methods to solve an otherwise overwhelming problem.

Trigonometry for Calculus

Before diving into the world of limits, derivatives, and integrals, it is essential to learn some basic trigonometric facts. Over the years, math teachers have created several mnemonics to help students remembers trigonometric properties. The first is “SOH CAH TOA” (read: sew, kah, tow-ah). This strange sounding series of acronyms stands for “sine is opposite…