Формулы дифференцирования

$C^{\prime }=0$ $x^{\prime }=1$ $(kx+m{)}^{\prime }=k$ $(\frac{1}{x}{)}^{\prime }=-\frac{1}{x^2}$ $(\sqrt{x}{)}^{\prime }=\frac{1}{2\sqrt{x}}$ $\sin (x{)}^{\prime }=\cos (x)$ $\cos (x{)}^{\prime }=-\sin (x)$ $\tan (x)=\frac{1}{{\cos }^{2}x}$ $\cot (x)=-\frac{1}{{\sin }^{2}x}$ $(\arcsin x{)}^{\prime }=\frac{1}{\sqrt{1-x^2}}$ $(\arccos x{)}^{\prime }=-\frac{1}{\sqrt{1-x^2}}$ $(\arctan x{)}^{\prime }=\frac{1}{1+x^2}$ $(arccotx{)}^{\prime }=-\frac{1}{1+x^2}$ $({\log }_a(x){)}^{\prime }=\frac{1}{x\ln (a)}$ $(a^x{)}^{\prime }=x\ln (a)$

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