| 1. | \( 0 \) | \( C \) | \( Cx \) |
| 2. | \( 1 \) | \( x \) | \( \frac{x^2}{2} \) |
| 3. | \( n x^{n-1} \) | \( x^n \) | \( \frac{x^{n+1}}{n+1}, \; n \neq -1 \) |
| 4. | \( \frac{1}{2\sqrt{x}} \) | \( \sqrt{x} \) | \( * \) |
| 5. | \( -\frac{1}{x^2} \) | \( \frac{1}{x} \) | \( \ln x \) |
| 6. | \( e^x \) | \( e^x \) | \( e^x \) |
| 7. | \( a^x \ln a \) | \( a^x \) | \( \frac{a^x}{\ln a} \) |
| 8. | \( \frac{1}{x} \) | \( \ln x \) | \( * \) |
| 9. | \( \frac{1}{x \ln a} \) | \( \log_a x \) | \( * \) |
| 10. | \( \cos x \) | \( \sin x \) | \( -\cos x \) |
| 11. | \( -\sin x \) | \( \cos x \) | \( \sin x \) |
| 12. | \( \frac{1}{\cos^2 x} \) | \( \operatorname{tg} x \) | \( * \) |
| 13. | \( * \) | \( \frac{1}{\cos^2 x} \) | \( \operatorname{tg} x \) |
| 14. | \( -\frac{1}{\sin^2 x} \) | \( \operatorname{ctg} x \) | \( * \) |
| 15. | \( * \) | \( \frac{1}{\sin^2 x} \) | \( -\operatorname{ctg} x \) |
| 16. | \( \frac{1}{\sqrt{1 - x^2}} \) | \( \arcsin x \) | \( * \) |
| 17. | \( * \) | \( \frac{1}{\sqrt{1 - x^2}} \) | \( \arcsin x \) |
| 18. | \( -\frac{1}{\sqrt{1 - x^2}} \) | \( \arccos x \) | \( * \) |
| 19. | \( \frac{1}{1 + x^2} \) | \( \operatorname{arctg} x \) | \( * \) |
| 20. | \( * \) | \( \frac{1}{1 + x^2} \) | \( \operatorname{arctg} x \) |
| 21. | \( -\frac{1}{1 + x^2} \) | \( \operatorname{arcctg} x \) | \( * \) |