gdzie jesteś: Start / Pochodne / Pochodne funkcji trygonometrycznych / Pochodna funkcji (E^x/x)*sin2x

Pochodna funkcji (E^x/x)*sin2x

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

$f\left(x\right) =$

$\sin\left(2\right){\cdot}{\mathrm{e}}^{x}$

Note: Your input has been rewritten/simplified.

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

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

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

$=\sin\left(2\right){\cdot}\class{steps-node}{\cssId{steps-node-4}{{\mathrm{e}}^{x}}}$