Hier volgt een lijst van niet-intrinsieke wiskundige functies die van de intrinsieke wiskundige functies kunnen worden afgeleid:
| Functie | Afgeleide equivalenten |
|---|---|
| Secans | Sec(X) = 1 / Cos(X) |
| Cosecans | Cosec(X) = 1 / Sin(X) |
| Cotangens | Cotan(X) = 1 / Tan(X) |
| Inverse sinus | Arcsin(X) = Atn(X / Sqr(-X * X + 1)) |
| Inverse cosinus | Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1) |
| Inverse secans | Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) - 1) * (2 * Atn(1)) |
| Inverse cosecans | Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1)) |
| Inverse cotangens | Arccotan(X) = Atn(X) + 2 * Atn(1) |
| Hyperbole sinus | HSin(X) = (Exp(X) - Exp(-X)) / 2 |
| Hyperbole cosinus | HCos(X) = (Exp(X) + Exp(-X)) / 2 |
| Hyperbole tangens | HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X)) |
| Hyperbole secans | HSec(X) = 2 / (Exp(X) + Exp(-X)) |
| Hyperbole cosecans | HCosec(X) = 2 / (Exp(X) - Exp(-X)) |
| Hyperbole cotangens | HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X)) |
| Inverse hyperbole sinus | HArcsin(X) = Log(X + Sqr(X * X + 1)) |
| Inverse hyperbole cosinus | HArccos(X) = Log(X + Sqr(X * X - 1)) |
| Inverse hyperbole tangens | HArctan(X) = Log((1 + X) / (1 - X)) / 2 |
| Inverse hyperbole secans | HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X) |
| Inverse hyperbole cosecans | HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) + 1) / X) |
| Inverse hyperbole cotangens | HArccotan(X) = Log((X + 1) / (X - 1)) / 2 |
| Logaritme met grondtal N | LogN(X) = Log(X) / Log(N) |