Solution: (a) Suppose is a one-to-one differentiable function and its inverse function

Chapter 3, Problem 41

(choose chapter or problem)

(a) Suppose is a one-to-one differentiable function and its inverse function is also differentiable. Use implicit differentiation to show thatf 1x 1 ff 1xprovided that the denominator is not 0. (b) If and , nd .

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