Calculus Examples

$\frac{1}{2} \cdot \ln (x)$

Step 1

Since $\frac{1}{2}$ is constant with respect to $x$ , the derivative of $\frac{1}{2} \cdot \ln (x)$ with respect to $x$ is $\frac{1}{2} \frac{d}{d x} [\ln (x)]$ .

$\frac{1}{2} \frac{d}{d x} [\ln (x)]$

Step 2

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

$\frac{1}{2} \cdot \frac{1}{x}$

Step 3

Multiply $\frac{1}{2}$ by $\frac{1}{x}$ .

$\frac{1}{2 x}$