Calculus Examples

$y = \frac{\ln (x)}{2}$

Step 1

Rewrite $\frac{\ln (x)}{2}$ as $\frac{1}{2} \ln (x)$ .

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

Step 2

Simplify $\frac{1}{2} \ln (x)$ by moving $\frac{1}{2}$ inside the logarithm.

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

Step 3

Since $\ln (x^{\frac{1}{2}})$ is constant with respect to $y$ , the derivative of $\ln (x^{\frac{1}{2}})$ with respect to $y$ is $0$ .

$0$