Derivatives of inverse functions from a table Use the following tables to determine the indicated derivatives or state that the derivative cannot be determined. <IMAGE>
b. (f^-1)'(6)

Verified step by step guidance

1. Identify the relationship between the function \( f \) and its inverse \( f^{-1} \). Recall that if \( y = f(x) \), then \( x = f^{-1}(y) \).
2. Use the formula for the derivative of an inverse function: \((f^{-1})'(b) = \frac{1}{f'(a)}\), where \( f(a) = b \).
3. From the problem, we need to find \((f^{-1})'(6)\). This means we need to find \( a \) such that \( f(a) = 6 \).
4. Look at the table provided to find the value of \( a \) for which \( f(a) = 6 \).
5. Once \( a \) is identified, find \( f'(a) \) from the table and use the formula \((f^{-1})'(6) = \frac{1}{f'(a)}\) to determine the derivative.