Derivative of Inverse Functions | Calculus Lesson 45 - JK Math

How to Find the Derivative of Inverse Functions (Calculus Lesson 45)

In this lesson we learn how to find the derivative of an inverse function, given the original function. We briefly review what inverse functions are, and then look at 3 different methods of finding their derivatives. The first method involves using a formula, the second method involves using implicit differentiation, and the third method involves finding the inverse function and just differentiating it as normal. All methods will lead to the same correct answer. We also look at how this derivative of an inverse function can be evaluated at a particular value of x from the original function.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Intro
0:12 Reviewing Inverse Functions
5:12 3 Methods To Find the Derivative
5:55 Method 1: Using A Formula
10:43 Method 2: Implicit Differentiation
14:23 Method 3: Find Inverse & Differentiate
16:54 Evaluating The Derivative at a Value of x
19:33 Outro

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