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3.4 Differentiating Inverse Trigonometric Functions

1 min readβ€’june 18, 2024


AP Calculus AB/BC ♾️

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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.Β Β 

How to Differentiate Inverse Trigonometric Functions πŸ•΅

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.Β 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.Β  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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