You will be able to find the derivative of an inverse function
Let's look at two key problems from the Inverse Derivative Investigation. Questions 4 and 5 will help us inductively find a derivative rule for inverse functions. We will then use the Chain Rule to prove it. Duration: 11:55
As Example 6 demonstrates, you can't always find an explicit equation for the inverse of a function. The derivative rule for inverse functions will come in handy in such a case. Duration: 7:13
Example 7 presents another instance where finding an inverse of a function would be a fruitless endeavor. To find the derivative of its inverse we will once again find the reciprocal slope at the original function's y-value. Duration: 4:57
The AP Exam will, of course, find clever ways for you to demonstrate your mastery of calculus, and Example 8 presents an instance of this. Here, you need to find the derivative of an inverse function for which you only have a collection of points. Pause this one and try it on your own. Duration: 3:23