Calculus Examples

$y = - 8 \ln (x)$

Step 1

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

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

Step 2

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

$- 8 \frac{1}{x}$

Step 3

Combine fractions.

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Step 3.1

Combine $- 8$ and $\frac{1}{x}$ .

$\frac{- 8}{x}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{8}{x}$