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Pochodna funkcji x(sqrt(1,5*x))

$f\left(x\right) =$	$5{x}^{2}$ Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(5{x}^{2}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{5{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}\right)}}}}$ $=5{\cdot}\class{steps-node}{\cssId{steps-node-4}{2}}\class{steps-node}{\cssId{steps-node-5}{x}}$ $=10x$

$f\left(x\right) =$

$5{x}^{2}$

Note: Your input has been rewritten/simplified.

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(5{x}^{2}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{5{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({x}^{2}\right)}}}}$

$=5{\cdot}\class{steps-node}{\cssId{steps-node-4}{2}}\class{steps-node}{\cssId{steps-node-5}{x}}$

$=10x$