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Pochodna funkcji xsin3x

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

$f\left(x\right) =$

$\sin\left(3\right){\cdot}{x}^{2}$

Note: Your input has been rewritten/simplified.

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

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

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

$=\sin\left(3\right){\cdot}\class{steps-node}{\cssId{steps-node-4}{2}}\class{steps-node}{\cssId{steps-node-5}{x}}$

$=2{\cdot}\sin\left(3\right){\cdot}x$