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Pochodna funkcji cosx^2/y

$f\left(x, y\right) =$	$\dfrac{{\left(\cos\left(x\right)\right)}^{2}}{y}$
$\dfrac{\mathrm{d}\left(f\left(x, y\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\dfrac{{\left(\cos\left(x\right)\right)}^{2}}{y}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\dfrac{\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\left(\cos\left(x\right)\right)}^{2}\right)}}}{y}}}$ $=\dfrac{\class{steps-node}{\cssId{steps-node-4}{2}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{\cos\left(x\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\cos\left(x\right)\right)}}}{y}$ $=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-7}{\left(-\sin\left(x\right)\right)}}{\cdot}\cos\left(x\right)}{y}$ $=\dfrac{-2{\cdot}\cos\left(x\right){\cdot}\sin\left(x\right)}{y}$

$f\left(x, y\right) =$

$\dfrac{{\left(\cos\left(x\right)\right)}^{2}}{y}$

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

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

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

$=\dfrac{\class{steps-node}{\cssId{steps-node-4}{2}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{\cos\left(x\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\cos\left(x\right)\right)}}}{y}$

$=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-7}{\left(-\sin\left(x\right)\right)}}{\cdot}\cos\left(x\right)}{y}$

$=\dfrac{-2{\cdot}\cos\left(x\right){\cdot}\sin\left(x\right)}{y}$