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Derivative of an Inverse Function

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Let ff be a one-to-one, differentiable function such that f(3)=5f(3)=5 and f′(3)=7f'(3)=7. If gg is the inverse function of ff, what is the value of g′(5)g'(5)?

A

35\frac{3}{5}

B

77

C

17\frac{1}{7}

D

1f′(5)\frac{1}{f'(5)}

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