Calculus Examples

$32 \cdot {0.75}^{t}$

Step 1

Since $32$ is constant with respect to $t$ , the derivative of $32 \cdot {0.75}^{t}$ with respect to $t$ is $32 \frac{d}{d t} [{0.75}^{t}]$ .

$32 \frac{d}{d t} [{0.75}^{t}]$

Step 2

Differentiate using the Exponential Rule which states that $\frac{d}{d t} [a^{t}]$ is $a^{t} \ln (a)$ where $a$ = $0.75$ .

$32 \cdot {0.75}^{t} \ln (0.75)$