Pochodna funkcji x^(1/3)

$f\left(x\right) =$	${x}^{\frac{1}{3}}$
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{\frac{1}{3}}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\dfrac{1}{3}}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{{x}^{\frac{1}{3}-1}}}$ $=\dfrac{1}{3{x}^{\frac{2}{3}}}$

$f\left(x\right) =$

${x}^{\frac{1}{3}}$

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{\frac{1}{3}}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{\dfrac{1}{3}}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{{x}^{\frac{1}{3}-1}}}$

$=\dfrac{1}{3{x}^{\frac{2}{3}}}$