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Pochodna funkcji sin(2-x)

f\left(x\right) = -\sin\left(x-2\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{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left(-\sin\left(x-2\right)\right)}}

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

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

=-\class{steps-node}{\cssId{steps-node-6}{1}}{\cdot}\cos\left(x-2\right)

=-\cos\left(x-2\right)

Podziel się rozwiązaniem:

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