Derivative of the inverse in two ways Let f(x) = sin x, f−1 (x) = sin−1 x, and .a. Evaluat...

Derivative of the inverse in two ways Let f(x) = sin x, f−1 (x) = sin−1 x, and .

a. Evaluate  using Theorem 3.23.

b. Evaluate  directly by differentiating f−1. Check for agreement with part (a).