Differentiate.
-$e ^ { 3 x }$
A) 3x
B) $e ^ { 3 x }$
C) 3 $e ^ { 3 x }$
D) $\frac { 1 } { 3 }$ $e ^ { 3 x }$

Name: Differentiate. -$e ^ { 3 x }$ A) 3x B) $e ^ { 3 x }$ C) 3 $e ^ { 3 x }$ D) $\frac { 1 } { 3 }$ $e ^ { 3 x }$
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Question

Differentiate. 
-$e ^ { 3 x }$
A) 3x
B) $e ^ { 3 x }$
C) 3 $e ^ { 3 x }$
D) $\frac { 1 } { 3 }$ $e ^ { 3 x }$

Quizplus · Accepted Answer

The derivative of $e^{3x}$ with respect to $x$ is found using the chain rule. The derivative of $e^{u}$ with respect to $u$ is $e^{u}$, and the derivative of $3x$ with respect to $x$ is 3. Therefore, the derivative of $e^{3x}$ with respect to $x$ is $3e^{3x}$.

Differentiate e3xe ^ { 3 x }e3x A) 3x B) e3xe ^ { 3 x }e3x

Differentiate $e ^ { 3 x }$ A) 3x
B) $e ^ { 3 x }$