gdzie jesteś: Start / Pochodne / Pochodne funkcji trygonometrycznych / Pochodna funkcji aecsin(x)

Pochodna funkcji aecsin(x)

$f\left(a, c, x\right) =$	$\mathrm{e}{\cdot}ac{\cdot}\sin\left(x\right)$ Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(a, c, x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\mathrm{e}{\cdot}ac{\cdot}\sin\left(x\right)\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\mathrm{e}{\cdot}ac{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\sin\left(x\right)\right)}}}}$ $=\mathrm{e}{\cdot}ac{\cdot}\class{steps-node}{\cssId{steps-node-4}{\cos\left(x\right)}}$

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

$\mathrm{e}{\cdot}ac{\cdot}\sin\left(x\right)$

Note: Your input has been rewritten/simplified.

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

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

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

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