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Pochodna funkcji arsin(x)

$f\left(a, r, x\right) =$	$ar{\cdot}\sin\left(x\right)$
$\dfrac{\mathrm{d}\left(f\left(a, r, x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(ar{\cdot}\sin\left(x\right)\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{ar{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\sin\left(x\right)\right)}}}}$ $=ar{\cdot}\class{steps-node}{\cssId{steps-node-4}{\cos\left(x\right)}}$

$f\left(a, r, x\right) =$

$ar{\cdot}\sin\left(x\right)$

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

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

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

$=ar{\cdot}\class{steps-node}{\cssId{steps-node-4}{\cos\left(x\right)}}$