Calculus Examples

$y = \frac{5 \ln (x)}{9}$

Step 1

Since $\frac{5}{9}$ is constant with respect to $x$ , the derivative of $\frac{5 \ln (x)}{9}$ with respect to $x$ is $\frac{5}{9} \frac{d}{d x} [\ln (x)]$ .

$\frac{5}{9} \frac{d}{d x} [\ln (x)]$

Step 2

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

$\frac{5}{9} \cdot \frac{1}{x}$

Step 3

Multiply $\frac{5}{9}$ by $\frac{1}{x}$ .

$\frac{5}{9 x}$