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# 3.3 Differentiating Inverse Functions

Jillian Holbrook

279Β resources
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## What are Inverse Functions? π

Inverse functions essentially βreverseβ 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).

Image Courtesy of Giphy

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

## How to Differentiate Inverse Functions π΅

Calculating the derivative of an Inverse function isnβt really much more difficult than deriving normal functions - it simply requires knowing the formula:
Letβs look at an example problem to clarify!

## Differentiating Inverse Functions Practice π

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

Browse Study Guides By Unit
πUnit 1 β Limits & Continuity
π€Unit 2 β Fundamentals of Differentiation
π€π½Unit 3 β Composite, Implicit, & Inverse Functions
πUnit 4 β Contextual Applications of Differentiation
β¨Unit 5 β Analytical Applications of Differentiation
π₯Unit 6 β Integration & Accumulation of Change
πUnit 7 β Differential Equations
πΆUnit 8 β Applications of Integration
π¦Unit 9 β Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)
βΎUnit 10 β Infinite Sequences & Series (BC Only)
π§Multiple Choice Questions (MCQ)
βοΈFree Response Questions (FRQ)
πBig Reviews: Finals & Exam Prep