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Pochodna funkcji (x^2+1)^2

$f\left(x\right) =$	${\left({x}^{2}+1\right)}^{2}$
$\dfrac{\mathrm{d}}{\mathrm{d}x}f\left(x\right) =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\left({x}^{2}+1\right)}^{2}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{2}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{\left({x}^{2}+1\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-4}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}+1\right)}}$ $=2{\cdot}\class{steps-node}{\cssId{steps-node-5}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}\right)}}{\cdot}\left({x}^{2}+1\right)$ $=2{\cdot}\class{steps-node}{\cssId{steps-node-6}{2}}\class{steps-node}{\cssId{steps-node-7}{x}}{\cdot}\left({x}^{2}+1\right)$ $=4x{\cdot}\left({x}^{2}+1\right)$

$f\left(x\right) =$

${\left({x}^{2}+1\right)}^{2}$

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\left({x}^{2}+1\right)}^{2}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{2}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{\left({x}^{2}+1\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-4}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}+1\right)}}$

$=2{\cdot}\class{steps-node}{\cssId{steps-node-5}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}\right)}}{\cdot}\left({x}^{2}+1\right)$

$=2{\cdot}\class{steps-node}{\cssId{steps-node-6}{2}}\class{steps-node}{\cssId{steps-node-7}{x}}{\cdot}\left({x}^{2}+1\right)$

$=4x{\cdot}\left({x}^{2}+1\right)$