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Unit 3

3.3 Differentiating Inverse Functions

1 min readβ€’june 7, 2020

jillian-holbrook

Jillian Holbrook


AP Calculus AB/BC ♾️

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What are Inverse Functions? πŸ™ƒ

Inverse functions essentially β€œreverse” what the original function did.Β 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 πŸ•΅

Calculating the derivative of an Inverse function isn’t really much more difficult than deriving normal functions - it simply requires knowing the formula:
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Let’s look at an example problem to clarify!
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreen%20Shot%202020-05-19%20at%202.11-BJs9M8TPDDqL.png?alt=media&token=352c0b5f-ef2f-4087-88d2-55bbc174a43b

Differentiating Inverse Functions Practice πŸ“

With some quality practice, Inverse Functions will be a piece of cake!Β 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 πŸ“

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(464).png?alt=media&token=a0e8eba1-c514-4c6b-b40d-6f7f956591cc

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