Calculating the Derivative of an Inverse Function at a Specific Point

Math Problem Statement

show me the answer only

If f(-3) = 2 and f'(-3) = 3/4, then (f^{-1})'(2) = ?

The answer is:

$(f^{-1})'(2) = \frac{4}{3}.$

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Inverse Functions
Differentiation

(f^{-1})'(y) = 1 / f'(x), where f(x) = y

Inverse Function Theorem

Undergraduate Calculus or Advanced High School Math

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