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Pochodna funkcji arcctanx

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

$f\left(x\right) =$

$a{c}^{2}r{\cdot}\tan\left(x\right)$

Note: Your input has been rewritten/simplified.

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(a{c}^{2}r{\cdot}\tan\left(x\right)\right)}}$

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

$=a{c}^{2}r{\cdot}\class{steps-node}{\cssId{steps-node-4}{{\left(\sec\left(x\right)\right)}^{2}}}$