Differentiate.
-$e ^ { x ^ { 3 } }$ sin $x ^ { 3 }$
A) 3x( $e ^ { x ^ { 3 } }$ + cos $x ^ { 3 }$ )
B) $e ^ { x ^ { 3 } }$ (sin $x ^ { 3 }$ + cos $x ^ { 3 }$ )
C) 3 $x ^ { 2 }$ ( $e ^ { x ^ { 3 } }$ + cos $x ^ { 3 }$ )
D) 3 $x ^ { 2 }$ $e ^ { x ^ { 3 } }$ (sin $x ^ { 3 }$ + cos $x ^ { 3 }$ )

Question

Quizplus · Accepted Answer

The differentiation of $e^{x^3}$sin($x^3$) using the product rule and chain rule gives 3$x^2$ $e^{x^3}$ (sin($x^3$) + cos($x^3$)).

Differentiate ex3e ^ { x ^ { 3 } }ex3 Sin x3x ^ { 3 }x3

Differentiate $e ^ { x ^ { 3 } }$ Sin $x ^ { 3 }$