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Pochodna funkcji x*tg(2x)

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

$f\left(g, t, x\right) =$

$2gt{x}^{2}$

Note: Your input has been rewritten/simplified.

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

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

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

$=2gt{\cdot}\class{steps-node}{\cssId{steps-node-4}{2}}\class{steps-node}{\cssId{steps-node-5}{x}}$

$=4gtx$