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Pochodna funkcji Ctan(x)^3

$f\left(x\right) =$	$c{\cdot}{\left(\tan\left(x\right)\right)}^{3}$
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(c{\cdot}{\left(\tan\left(x\right)\right)}^{3}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{c{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({\left(\tan\left(x\right)\right)}^{3}\right)}}}}$ $=c{\cdot}\class{steps-node}{\cssId{steps-node-4}{3}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{{\left(\tan\left(x\right)\right)}^{2}}}{\cdot}\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(\tan\left(x\right)\right)}}$ $=3c{\cdot}\class{steps-node}{\cssId{steps-node-7}{{\left(\sec\left(x\right)\right)}^{2}}}{\cdot}{\left(\tan\left(x\right)\right)}^{2}$

$f\left(x\right) =$

$c{\cdot}{\left(\tan\left(x\right)\right)}^{3}$

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

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

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

$=c{\cdot}\class{steps-node}{\cssId{steps-node-4}{3}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{{\left(\tan\left(x\right)\right)}^{2}}}{\cdot}\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(\tan\left(x\right)\right)}}$

$=3c{\cdot}\class{steps-node}{\cssId{steps-node-7}{{\left(\sec\left(x\right)\right)}^{2}}}{\cdot}{\left(\tan\left(x\right)\right)}^{2}$