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Pochodna funkcji sin(x/l)

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

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

$\sin\left(\dfrac{x}{l}\right)$

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

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

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

$=\class{steps-node}{\cssId{steps-node-4}{\dfrac{1}{l}}}{\cdot}\cos\left(\dfrac{x}{l}\right)$

$=\dfrac{\cos\left(\dfrac{x}{l}\right)}{l}$