Finding derivatives from a table Find the values of the following derivatives using the table. <IMAGE>
(g^-1)'(7)

Verified step by step guidance

1. Identify that you need to find the derivative of the inverse function, \((g^{-1})'(7)\).
2. Recall the formula for the derivative of an inverse function: \((f^{-1})'(b) = \frac{1}{f'(a)}\), where \(f(a) = b\).
3. Determine the value of \(a\) such that \(g(a) = 7\) using the table provided.
4. Once \(a\) is found, use the table to find \(g'(a)\), the derivative of \(g\) at \(a\).
5. Apply the formula \((g^{-1})'(7) = \frac{1}{g'(a)}\) to find the desired derivative value.