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Pochodna funkcji (sint+cost)/2sin(2t)

$f\left(t\right) =$	$\dfrac{\left(\sin\left(t\right)+\cos\left(t\right)\right){\cdot}\sin\left(2t\right)}{2}$ Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(t\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\dfrac{\left(\sin\left(t\right)+\cos\left(t\right)\right){\cdot}\sin\left(2t\right)}{2}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{0}}$

$f\left(t\right) =$

$\dfrac{\left(\sin\left(t\right)+\cos\left(t\right)\right){\cdot}\sin\left(2t\right)}{2}$

Note: Your input has been rewritten/simplified.

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

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

$=\class{steps-node}{\cssId{steps-node-2}{0}}$