Precalculus Examples

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

Step 1

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

$x \ln ({(\frac{1}{x})}^{2}) - x$

Step 2

Apply the product rule to $\frac{1}{x}$ .

$x \ln (\frac{1^{2}}{x^{2}}) - x$

Step 3

One to any power is one.

$x \ln (\frac{1}{x^{2}}) - x$