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

7-137.

Given: and

*continuous and differentiable such that*

.

Evaluate.

How to find derivative of inverse functions:

A function,, and its inverse, , will have reciprocal derivatives at correspondingvalues.

So, ifhas coordinate point and at , its derivative is .

Thenhas coordinate point and at , its derivative is .

Since

, the inverse,.

Now, so__

Refer to the hint in part (b)

Refer to the hint in part (b).