Calculus Examples

$f (x) = 8 \log (x)$

Step 1

Since $8$ is constant with respect to $x$ , the derivative of $8 \log (x)$ with respect to $x$ is $8 \frac{d}{d x} [\log (x)]$ .

$8 \frac{d}{d x} [\log (x)]$

Step 2

The derivative of $\log (x)$ with respect to $x$ is $\frac{1}{x \ln (10)}$ .

$8 \frac{1}{x \ln (10)}$

Step 3

Combine $8$ and $\frac{1}{x \ln (10)}$ .

$\frac{8}{x \ln (10)}$