APFIVE Derivative of an Inverse Function
Let $$f$$ be the function defined by $$f(x)=x^3+2x^2-x+5$$. If $$g$$ is the inverse function of $$f$$ and $$g(7)=1$$, what is the value of $$g'(7)$$?
A
$$\frac{1}{3}$$
B
$$\frac{1}{5}$$
C
$$\frac{1}{4}$$
D
$$\frac{1}{6}$$
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