1. Find the maximum and minimum of on [0,3] First, we need to find the zeros of the derivative to…

Newton’s method provides a useful way to estimate the roots and solutions to equations. Suppose for instance we have a…

Throughout our work with limits and derivatives, we encountered a number of hard to solve limits. For example, consider .…

Related rate problems are a type of problem where we have a rate, which is related to another, and we…

The mean value theorem allows us to easily understand a number of useful facts about a function, such that it…

Now that we know how to take derivatives, we can start to learn about applications of them. One important application…

This page will serve as a practice test for derivatives. We will go over some common derivative problems and see…

The final derivative type that we need to investigate is the derivatives of exponential and logarithmic functions. First, let’s refresh…

So far, we have seen functions that are easy to isolate for one variable. We typically have functions in the…

With our current derivative rules, there are still some functions that we can’t take the derivative of. Take for example…