Calculus Examples

$e^{x} \ln (y)$

Step 1

Since $\ln (y)$ is constant with respect to $x$ , the derivative of $e^{x} \ln (y)$ with respect to $x$ is $\ln (y) \frac{d}{d x} [e^{x}]$ .

$\ln (y) \frac{d}{d x} [e^{x}]$

Step 2

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

$\ln (y) e^{x}$

Step 3

Reorder the factors of $\ln (y) e^{x}$ .

$e^{x} \ln (y)$