Derivative of an Inverse Function
A differentiable function $$f(x)$$ satisfies $$f(2)=5$$ and $$f'(2)=4$$. If its inverse function is $$g(x)$$, use the inverse function derivative formula to compute $$g'(5)$$.
A
$$\frac{1}{5}$$
B
$$\frac{1}{4}$$
C
$$-\frac{1}{4}$$
D
$$4$$
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