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Derivative of an Inverse Function

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Let ff be the function defined by f(x)=x3+3xf(x) = x^3 + 3x. If hh is the inverse function of ff and h(14)=2h(14) = 2, what is the value of h′(14)h'(14)?

A

115\frac{1}{15}

B

19\frac{1}{9}

C

112\frac{1}{12}

D

16\frac{1}{6}

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