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

7-137.

Given: and continuous and differentiable such that .

Evaluate.

  1. How to find derivative of inverse functions:
    A function,, and its inverse, , will have reciprocal derivatives at corresponding values.
    So, if  has coordinate point  and at , its derivative is .
    Then has coordinate point  and at , its derivative is .

  1. Since , the inverse, .
    Now , so __
    Refer to the hint in part (b)

  1. Refer to the hint in part (b).