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.
- $$y = ( \cos x ) ^ { x }$$

A) $\ln x ( \cos x ) ^ { x - 1 }$
B) $( \cos x ) ^ { x } ( \ln \cos x - x \tan x )$
C) $\ln \cos x - x \tan x$
D) $( \cos x ) ^ { x } ( \ln \cos x + x \cot x )$