| Numer wzoru | Funkcja | Pochodna funkcji |
| 1. | \(f(x)=c\) | \(f^{\prime}(x)=0\) |
| 2. | \(f(x)=x^n\) | \(f^{\prime}(x)=n x^{n-1}\) |
| 3. | \(f(x)=x\) | \(f^{\prime}(x)=1\) |
| 4. | \(f(x)=\frac{1}{x}\) | \(f^{\prime}(x)=-\frac{1}{x^2}\) |
| 5. | \(f(x)=\sqrt{x}\) | \(f^{\prime}(x)=\frac{1}{2 \sqrt{x}}\) |
| 6. | \(f(x)=a^x\) | \(f^{\prime}(x)=a^x \ln a\) |
| 7. | \(f(x)=e^x\) | \(f^{\prime}(x)=e^x\) |
| 8. | \(f(x)=\log _a x\) | \(f^{\prime}(x)=\frac{\log _a e}{x}\) |
| 9. | \(f(x)=\ln x\) | \(f^{\prime}(x)=\frac{1}{x}\) |
| 10. | \(f(x)=\sin x\) | \(f^{\prime}(x)=\cos x\) |
| 11. | \(f(x)=\cos x\) | \(f^{\prime}(x)=-\sin x\) |
| 12. | \(f(x)=\operatorname{tg} x\) | \(f^{\prime}(x)=\frac{1}{\cos ^2 x}\) |
| 13. | \(f(x)=\operatorname{ctg} x\) | \(f^{\prime}(x)=-\frac{1}{\sin ^2 x}\) |
| 14. | \(f(x)=\arcsin x\) | \(f^{\prime}(x)=\frac{1}{\sqrt{1-x^2}}\) |
| 15. | \(f(x)=\arccos x\) | \(f^{\prime}(x)=-\frac{1}{\sqrt{1-x^2}}\) |
| 16. | \(f(x)=\operatorname{arctg} x\) | \(f^{\prime}(x)=\frac{1}{1+x^2}\) |
| 17. | \(f(x)=\operatorname{arcctg} x\) | \(f^{\prime}(x)=-\frac{1}{1+x^2}\) |