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Pochodna funkcji arcsin(-x+1)

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

$f\left(x\right) =$

$-\arcsin\left(x-1\right)$

Note: Your input has been rewritten/simplified.

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

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

$=\class{steps-node}{\cssId{steps-node-2}{-\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\arcsin\left(x-1\right)\right)}}}}$

$=-\left(\class{steps-node}{\cssId{steps-node-4}{\dfrac{1}{\sqrt{1-{\left(x-1\right)}^{2}}}}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(x-1\right)}}\right)$

$=\dfrac{-\class{steps-node}{\cssId{steps-node-6}{1}}}{\sqrt{1-{\left(x-1\right)}^{2}}}$