Calculus Examples

$5 \cdot 4^{x}$

Step 1

Since $5$ is constant with respect to $x$ , the derivative of $5 \cdot 4^{x}$ with respect to $x$ is $5 \frac{d}{d x} [4^{x}]$ .

$5 \frac{d}{d x} [4^{x}]$

Step 2

Differentiate using the Exponential Rule which states that $\frac{d}{d x} [a^{x}]$ is $a^{x} \ln (a)$ where $a$ = $4$ .

$5 \cdot 4^{x} \ln (4)$