Differentiate the Given Function $g ( t ) = 5 \sin ^ { 10 } t - 6 \sin t ^ { 10 }$

Multiple Choice

Differentiate the given function. $g ( t ) = 5 \sin ^ { 10 } t - 6 \sin t ^ { 10 }$

A) $50 \sin ^ { 9 } t \cdot \cos t - 60 \sin ^ { 9 } t \cdot \cos t$
B) $- 5 \cos ^ { 10 } t + 6 \cos t ^ { 10 }$
C) $5 \cos ^ { 10 } t - 6 \cos ^ { 10 }$
D) $50 \sin ^ { 9 } t \cdot \cos t - 60 t ^ { 9 } \cos t ^ { 10 }$