Calculus Examples

$4 e^{t}$

Step 1

Since $4$ is constant with respect to $t$ , the derivative of $4 e^{t}$ with respect to $t$ is $4 \frac{d}{d t} [e^{t}]$ .

$4 \frac{d}{d t} [e^{t}]$

Step 2

Differentiate using the Exponential Rule which states that $\frac{d}{d t} [a^{t}]$ is $a^{t} \ln (a)$ where $a$ = $e$ .

$4 e^{t}$