Derivative of Inverse Functions

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Section 2.7 Derivative of Inverse Functions

Module Learning Objectives.

Compute the derivative of inverse trigonometric functions

Video 2.7.1. Derivatives of Inverse Trig functions.

Inverse trigonometry functions satisfy equations such as $\tan(\arctan(x))=x\text{.}$ We can thus use implicit differentiation to find their derivatives.

Post-video reflection.

Note carefully that we have to be very careful about domains of inverse trig functions, a detail not yet explored in the above video but we will explore this more in class. Can you predict what the issue is going to be?

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