Let $f ( x ) = \cos ^ { - 1 } ( \sin x )$

Multiple Choice

Let $f ( x ) = \cos ^ { - 1 } ( \sin x )$ Then $f ^ { \prime } ( x )$ is

A) -1
B) $- \frac { \operatorname { cox } x } { 1 + \sin ^ { 2 } x }$
C) $- \frac { \operatorname { cox } x } { \sqrt { 1 + \sin ^ { 2 } x } }$
D) 1
E) $\frac { \cos x } { \sqrt { 1 + \sin ^ { 2 } x } }$