Question

Write the value of $\frac{d}{dx}\left\{\right(x+|x|\left)|x|\right\}$

Answer 1

We have,

$\frac{d}{dx}\left\{\right(x+|x|\left)|x|\right\}$

$=\{\begin{array}{c}\frac{d}{dx}2x^2[ifx>0]\\ \\ \frac{d}{dx}(-x+x)x[ifx<0]\end{array}$

$=\left\{\begin{array}{c}4x[ifx>0]\\ 0[ifx<0]\end{array}\right\}$