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Pochodna funkcji -(2/x^2)

$f\left(x\right) =$	$\dfrac{-2}{{x}^{2}}$
	Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(\dfrac{-2}{{x}^{2}}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{-2{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(\dfrac{1}{{x}^{2}}\right)}}}}$ $=-2{\cdot}\dfrac{\class{steps-node}{\cssId{steps-node-6}{-\class{steps-node}{\cssId{steps-node-5}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}\right)}}}}}{\class{steps-node}{\cssId{steps-node-4}{{\left({x}^{2}\right)}^{2}}}}$ $=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-7}{2}}\class{steps-node}{\cssId{steps-node-8}{x}}}{{x}^{4}}$ $=\dfrac{4}{{x}^{3}}$

$f\left(x\right) =$

$\dfrac{-2}{{x}^{2}}$

Note: Your input has been rewritten/simplified.

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

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

$=\class{steps-node}{\cssId{steps-node-2}{-2{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(\dfrac{1}{{x}^{2}}\right)}}}}$

$=-2{\cdot}\dfrac{\class{steps-node}{\cssId{steps-node-6}{-\class{steps-node}{\cssId{steps-node-5}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}\right)}}}}}{\class{steps-node}{\cssId{steps-node-4}{{\left({x}^{2}\right)}^{2}}}}$

$=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-7}{2}}\class{steps-node}{\cssId{steps-node-8}{x}}}{{x}^{4}}$

$=\dfrac{4}{{x}^{3}}$