$\text { Use the Product Rule to differentiate } f ( t ) = t ^ { - 4 } \sin t \text {. }$

Multiple Choice

$\text { Use the Product Rule to differentiate } f ( t ) = t ^ { - 4 } \sin t \text {. }$

A) $f ( t ) = t ^ { - 4 } \cos t - 4 t ^ { 3 } \sin t$
B) $f ^ { t} ( t ) = - t ^ { - 4 } \cos t + 4 t ^ { - 5 } \sin t$
C) $f ^ { t } ( t ) = - t ^ { - 4 } \cos t - 4 t ^ { - 3 } \sin t$
D) $f ^ { t } ( t ) = t ^ { - 4 } \cos t + 4 t ^ { - 5 } \sin t$
E) $f ^ { t} ( t ) = t ^ { - 4 } \cos t - 4 t ^ { - 5 } \sin t$