Matematyka
$f\left(x, y\right) =$ | ${\mathrm{e}}^{x}{\cdot}\cos\left(y\right)$ |
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$\dfrac{\mathrm{d}\left(f\left(x, y\right)\right)}{\mathrm{d}x} =$ |
$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\mathrm{e}}^{x}{\cdot}\cos\left(y\right)\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\cos\left(y\right){\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({\mathrm{e}}^{x}\right)}}}}$ $=\class{steps-node}{\cssId{steps-node-4}{{\mathrm{e}}^{x}}}{\cdot}\cos\left(y\right)$ $=\cos\left(y\right){\cdot}{\mathrm{e}}^{x}$ Uproszczony wynik: $={\mathrm{e}}^{x}{\cdot}\cos\left(y\right)$ |