Quiz 3.9

. Quiz 3.9

Question:

Find \( \frac{dy}{dx} \) for \( y = \sin ^{-1} ( \ln (x)) \)

Solution:

\( \frac{dy}{dx}=\frac{1}{\sqrt{1- \ln ^2 x}} \frac{1}{x} = \frac{1}{x \sqrt{1- \ln ^2 x}} \)