Pochodna funkcji abs(x)

$f\left(x\right) =$	$\left\|x\right\|$
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\left\|x\right\|\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\dfrac{x}{\left\|x\right\|}}}$

$f\left(x\right) =$

$\left|x\right|$

$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\left|x\right|\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{\dfrac{x}{\left|x\right|}}}$