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3.3 Differentiating Inverse Functions

#inversefunctions

#derivatives

โฑ๏ธย ย 1 min read

written by

Jillian Holbrook

jillian holbrook

June 7, 2020


What are Inverse Functions? ๐Ÿ™ƒ

Inverse functions essentially โ€œreverseโ€ what the original function did.ย You likely encountered Inverse Functions in Algebra II and/or Pre-Calculus when reflecting a function along y = x.

We denote functions as f(x) and their inverses as f^-1(x).

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Image Courtesy of Giphy

Confused? Don't worry! We'll break it down.

How to Differentiate Inverse Functions ๐Ÿ•ต

Calculating the derivative of an Inverse function isnโ€™t really much more difficult than deriving normal functions - it simply requires knowing the formula:

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Letโ€™s look at an example problem to clarify!

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Differentiating Inverse Functions Practice ๐Ÿ“

With some quality practice, Inverse Functions will be a piece of cake!ย Give the ones below a try.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(462).png?alt=media&token=34f61299-2410-49d7-908e-82ed7085d203

Answers ๐Ÿ“

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