Use Logarithmic Differentiation to Find the Derivative of Y with Respect

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( \sin x ) ^ { \cos x }$$

A) $( \sin x ) ^ { \cos x } ( \cos x \cot x - \sin x \ln ( \sin x ) )$
B) $\cos x \cot x - \ln ( \sin x )$
C) $\cos x \cot x - \sin x \ln ( \sin x )$
D) $\cos x \ln ( \sin x )$