### Home > CALC > Chapter 7 > Lesson 7.3.3 > Problem 7-137

7-137.

Since *g*(2) = −1,

the inverse, *f*(−1) = 2.

Now *f* '(−1) = 1, so *g* '(2) = __

Refer to the hint in part (b)

Refer to the hint in part (b).

How to find derivative of inverse functions:

A function, *f*, and its inverse, *g*, will have reciprocal derivatives at corresponding (*x*, *y*)→(*y*, *x*) values.