turkey-yks 2011 Q39

turkey-yks · Other · lys1-math Chain Rule Chain Rule with Composition of Explicit Functions
$$f ( x ) = \sin ^ { 2 } \left( 3 x ^ { 2 } + 2 x + 1 \right)$$
Given this, what is the value of $f ^ { \prime } ( 0 )$?
A) $2 \cos 2$
B) $2 \cos 3$
C) $6 \sin 1$
D) $4 \sin 2$
E) $2 \sin 2$
$$f ( x ) = \sin ^ { 2 } \left( 3 x ^ { 2 } + 2 x + 1 \right)$$

Given this, what is the value of $f ^ { \prime } ( 0 )$?\\
A) $2 \cos 2$\\
B) $2 \cos 3$\\
C) $6 \sin 1$\\
D) $4 \sin 2$\\
E) $2 \sin 2$