APFIVE Derivative of an Inverse Function
Let $$f(x)= x^4+2$$ be a one-to-one function. If $$g(x)$$ is its inverse and $$f(2)=18$$, which of the following represents the correct value of $$g'(18)$$?
| x | f(x) | f’(x) |
|---|---|---|
| 2 | 18 | 32 |
A
$$\frac{1}{32}$$
B
$$\frac{1}{16}$$
C
$$32$$
D
$$\frac{1}{4}$$
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