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Pochodna funkcji e^x(1-x^3)

$f\left(x\right) =$	$\left(1-{x}^{3}\right){\cdot}{\mathrm{e}}^{x}$ Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\left(1-{x}^{3}\right){\cdot}{\mathrm{e}}^{x}\right)}}$ $=\class{steps-node}{\cssId{steps-node-3}{\class{steps-node}{\cssId{steps-node-2}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(1-{x}^{3}\right)}}{\cdot}{\mathrm{e}}^{x}}}+\class{steps-node}{\cssId{steps-node-5}{\left(1-{x}^{3}\right){\cdot}\class{steps-node}{\cssId{steps-node-4}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\mathrm{e}}^{x}\right)}}}}$ $=\class{steps-node}{\cssId{steps-node-6}{-\class{steps-node}{\cssId{steps-node-7}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{3}\right)}}}}{\cdot}{\mathrm{e}}^{x}+\class{steps-node}{\cssId{steps-node-8}{{\mathrm{e}}^{x}}}{\cdot}\left(1-{x}^{3}\right)$ $=\left(1-{x}^{3}\right){\cdot}{\mathrm{e}}^{x}-\class{steps-node}{\cssId{steps-node-9}{3}}\class{steps-node}{\cssId{steps-node-10}{{x}^{2}}}{\cdot}{\mathrm{e}}^{x}$

$f\left(x\right) =$

$\left(1-{x}^{3}\right){\cdot}{\mathrm{e}}^{x}$

Note: Your input has been rewritten/simplified.

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

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

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

$=\class{steps-node}{\cssId{steps-node-6}{-\class{steps-node}{\cssId{steps-node-7}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{3}\right)}}}}{\cdot}{\mathrm{e}}^{x}+\class{steps-node}{\cssId{steps-node-8}{{\mathrm{e}}^{x}}}{\cdot}\left(1-{x}^{3}\right)$

$=\left(1-{x}^{3}\right){\cdot}{\mathrm{e}}^{x}-\class{steps-node}{\cssId{steps-node-9}{3}}\class{steps-node}{\cssId{steps-node-10}{{x}^{2}}}{\cdot}{\mathrm{e}}^{x}$