Calculus Examples

$f (x) = 2 \ln (x)$

Step 1

Since $2$ is constant with respect to $x$ , the derivative of $2 \ln (x)$ with respect to $x$ is $2 \frac{d}{d x} [\ln (x)]$ .

$2 \frac{d}{d x} [\ln (x)]$

Step 2

The derivative of $\ln (x)$ with respect to $x$ is $\frac{1}{x}$ .

$2 \frac{1}{x}$

Step 3

Combine $2$ and $\frac{1}{x}$ .

$\frac{2}{x}$