Differentiate the given function. $$f ( x ) = e ^ { - 5 x }$$
A) $x = - 5 e ^ { - 5 x }$
B) $x = - 5 x e ^ { - 5 x }$
C) $x = e ^ { - 5 x }$
D) $x = - 5 e ^ { - 5 x - 1 }$

Name: Differentiate the given function. \[f ( x ) = e ^ { - 5 x }\] A) $x = - 5 e ^ { - 5 x }$ B) $x = - 5 x e ^ { - 5 x }$ C) $x = e ^ { - 5 x }$ D) $x = - 5 e ^ { - 5 x - 1 }$
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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 $e^{-5x}$ is $-5e^{-5x}$.

Differentiate the Given Function f(x)=e−5xf ( x ) = e ^ { - 5 x }f(x)=e−5x

Differentiate the Given Function $f ( x ) = e ^ { - 5 x }$