| Функция | Производная |
| const | 0 |
| x | 1 |
| x2 | 2x |
| x3 | 3x2 |
| xn | nxn-1 |
| ln(x) | 1 x |
| loga(x) | 1 xln(a) |
| ex | ex |
| ax | axln(a) |
| xx | (1+ln(x))xx |
| sin(x) | cos(x) |
| cos(x) | -sin(x) |
| tg(x) | 1 cos2(x) |
| ctg(x) | -1 sin2(x) |
| arcsin(x) | 1 √(1-x2) |
| arccos(x) | -1 √(1-x2) |
| arcctg(x) | 1 1+x2 |
| arcctg(x) | -1 1+x2 |
| sh(x) | ch(x) |
| ch(x) | sh(x) |