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Pochodna funkcji tg^6(x^4-5)

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

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

${g}^{6}t{\cdot}\left({x}^{4}-5\right)$

Note: Your input has been rewritten/simplified.

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({g}^{6}t{\cdot}\left({x}^{4}-5\right)\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{{g}^{6}t{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{4}\right)}}}}$

$={g}^{6}t{\cdot}\class{steps-node}{\cssId{steps-node-4}{4}}\class{steps-node}{\cssId{steps-node-5}{{x}^{3}}}$

$=4{g}^{6}t{x}^{3}$