Question

Let f and g be two differentiable functions satisfying $g'(5) = \frac{3}{4}$, $g(5) = 6$ and $g = f^{-1}$. Then $f'(6) =$

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $\frac{2}{3}$
• D. $\frac{4}{3}$

Hint:

Just remember: The slopes of inverse functions at corresponding points are reciprocals of each other.

Answer 1

The Correct Option is D