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Derivative of an Inverse Function

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The function h\displaystyle h is given by h(x)=x5+3x2\displaystyle h(x) = x^5 + 3x - 2 and h(1)=2\displaystyle h(1) = 2. If h1\displaystyle h^{-1} is the inverse of h\displaystyle h, what is the value of (h1)(2)\displaystyle (h^{-1})'(2)?

A

183\displaystyle \frac{1}{83}

B

12\displaystyle \frac{1}{2}

C

1\displaystyle 1

D

18\displaystyle \frac{1}{8}

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