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3.4 Differentiating Inverse Trigonometric Functions

1 min readjune 18, 2024


AP Calculus AB/BC ♾️

279 resources
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What is an Inverse Trigonometric Function?

Inverse Trigonometric Functions are - you guessed it - Inverse Functions with some added panache! They take Inverse Functions to the next level by adding in trigonometry.  

How to Differentiate Inverse Trigonometric Functions

The Main Theorem for Inverse Functions is still applicable for their Inverse Trigonometric Function counterparts.
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However, it is best to memorize the inverses of trig functions. You can study them in the table below:
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Remember that the inverse of trigonometric functions can be written in two different ways.  If we take the inverse of, for example, sin(x), then it can be written as sin^-1(x) or arcsin(x).
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