Find the Slope of the Tangent to the Curve $y = \sin ^ { 2 } x + \sin 2 x$

Multiple Choice

Find the slope of the tangent to the curve $y = \sin ^ { 2 } x + \sin 2 x$ when $x = \frac { \pi } { 4 }$ .

A) $- \frac { 1 } { 4 }$
B) $- \frac { \sqrt { 2 } } { 2 }$
C) $- \frac { 1 } { 2 }$
D) 0
E) $\frac { 1 } { 2 }$
F) $\frac { \sqrt { 2 } } { 2 }$
G) 1

H) $\frac { 3 } { 2 }$