| \(C\) (константа) |
\(0\) |
| \(x^n\) |
\(nx^{n-1}\) |
| \(e^x\) |
\(e^x\) |
| \(a^x\) |
\(a^x \ln a\) |
| \(\ln x\) |
\(\frac{1}{x}\) |
| \(\log_a x\) |
\(\frac{1}{x \ln a}\) |
| \(\sin x\) |
\(\cos x\) |
| \(\cos x\) |
\(-\sin x\) |
| \(\tan x\) |
\(\frac{1}{\cos^2 x} = \sec^2 x\) |
| \(\cot x\) |
\(-\frac{1}{\sin^2 x} = -\csc^2 x\) |
| \(\arcsin x\) |
\(\frac{1}{\sqrt{1-x^2}}\) |
| \(\arccos x\) |
\(-\frac{1}{\sqrt{1-x^2}}\) |
| \(\arctan x\) |
\(\frac{1}{1+x^2}\) |
| \(\operatorname{arccot}x\) |
\(-\frac{1}{1+x^2}\) |
| \(\sinh x\) |
\(\cosh x\) |
| \(\cosh x\) |
\(\sinh x\) |
| \(\tanh x\) |
\(\operatorname{sech}^2 x\) |
| \(\coth x\) |
\(-\operatorname{csch}^2 x\) |