A curve is defined by the parametric equations $x ( t ) = t ^ { 2 } + 3$ and $y ( t ) = \sin \left( t ^ { 2 } \right)$. Which of the following is an expression for $\frac { d ^ { 2 } y } { d x ^ { 2 } }$ in terms of $t$?\\
(A) $- \sin \left( t ^ { 2 } \right)$\\
(B) $- 2 t \sin \left( t ^ { 2 } \right)$\\
(C) $\cos \left( t ^ { 2 } \right) - 2 t ^ { 2 } \sin \left( t ^ { 2 } \right)$\\
(D) $2 \cos \left( t ^ { 2 } \right) - 4 t ^ { 2 } \sin \left( t ^ { 2 } \right)$