| Funktion | Afledte | |
|---|---|---|
| $\sin{u}$ | $\cos{u}$ | |
| $\cos{u}$ | $-\sin{u}$ | |
| $\tan{u}$ | $\sec^2{u}$ | |
| $\cot{u}$ | $-\csc^2{u}$ | |
| $\sec{u}$ | $\sec{u}\tan{u}$ | |
| $\sin^{-1}{u}$ | $\frac{1}{\sqrt{1-u^2}}$ | $\left[-\frac{\pi}{2} \lt sin^{-1}u \lt \frac{\pi}{2}\right]$ |
| $\cos^{-1}{u}$ | $\frac{-1}{\sqrt{1-u^2}}$ | $\left[0 \lt cos^{-1}u \lt \pi \right]$ |
| $\tan^{-1}{u}$ | $\frac{1}{1+u^2}$ | $\left[-\frac{\pi}{2} \lt tan^{-1}u \lt \frac{\pi}{2}\right]$ |
| $\cot^{-1}{u}$ | $\frac{-1}{1+u^2}$ | $\left[0 \lt cot^{-1}u \lt \pi \right]$ |
