Find the Derivative of the Function $y = \ln \left( \cos ^ { 2 } x \right)$

Multiple Choice

Find the derivative of the function $y = \ln \left( \cos ^ { 2 } x \right)$ and simplify your answer by using the trigonometric identities.

A) $y = 2 \tan x$
B) $y = \frac { 2 } { \cos x \sin x }$
C) $y = - 2 \tan x$
D) $y = 2 \cot x$
E) $y = - 2 \cot x$