Video Example

Find $f^{\text{'}}(x)$ if $f(x)=ln(|8x|).$

Solution

Since

$f(x)=\{\begin{array}{ccc}ln(8x)& if& x>0\\ ln(-8x)& if& x<mn\; id="EditorElement\_1364340">0</mn>\end{array}$

it follows that

Thus, $f^{\text{'}}(x)=,$ for all $x0.$