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