Differentiate the given function. $$f ( x ) = e ^ { - 3 x }$$
A) $- 3 e ^ { - 3 x }$
B) $- 3 x e ^ { - 3 x }$
C) $e ^ { - 3 x }$
D) $e ^ { - 3 x / 3 }$

Name: Differentiate the given function. \[f ( x ) = e ^ { - 3 x }\] A) $- 3 e ^ { - 3 x }$ B) $- 3 x e ^ { - 3 x }$ C) $e ^ { - 3 x }$ D) $e ^ { - 3 x / 3 }$
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Question

Quizplus · Accepted Answer

The derivative of $e^{ax}$ with respect to $x$ is $ae^{ax}$, where $a$ is a constant. Therefore, the derivative of $e^{-3x}$ is $-3e^{-3x}$.

Differentiate the Given Function f(x)=e−3xf ( x ) = e ^ { - 3 x }f(x)=e−3x

Differentiate the Given Function $f ( x ) = e ^ { - 3 x }$