find f(x).\nf(x)=9e^{-3x}\nf(x)=□

find f(x).\nf(x)=9e^{-3x}\nf(x)=□

find f(x).\nf(x)=9e^{-3x}\nf(x)=□

Answer

Explanation:

Step1: Recall derivative rule

The derivative of $e^{u}$ is $e^{u}\cdot u'$. Here $u = - 3x$ and the function is $y = 9e^{-3x}$.

Step2: Differentiate

$y'=9\cdot e^{-3x}\cdot(-3)$.

Answer:

$-27e^{-3x}$