differentiate. f(x)=3e^x f(x)=

Explanation:

Step1: Recall derivative rule

The derivative of $e^x$ is $e^x$, and for a constant - multiple function $y = cf(x)$ where $c$ is a constant and $f(x)$ is a function, the derivative is $y'=cf'(x)$.

Step2: Differentiate the function

Given $f(x)=3e^x$, using the constant - multiple rule with $c = 3$ and $f(x)=e^x$. Since $\frac{d}{dx}(e^x)=e^x$, then $f'(x)=3\frac{d}{dx}(e^x)$. So $f'(x)=3e^x$.

Answer:

$3e^x$