Derivatives of Standard Functions

Grade 12 Maths — Derivatives of Standard Functions: 25 practice questions with instant scoring and explanations.

1. The derivative of xⁿ is:
2. The derivative of eˣ is:
3. The derivative of ln(x) is:
4. The derivative of sin(x) is:
5. The derivative of cos(x) is:
6. The derivative of tan(x) is:
7. The derivative of aˣ where a > 0, a ≠ 1 is:
8. The derivative of log_a(x) is:
9. The derivative of a constant c is:
10. The derivative of x is:
11. The derivative of √x is:
12. The derivative of 1/x is:
13. The derivative of cot(x) is:
14. The derivative of sec(x) is:
15. The derivative of csc(x) is:
16. The derivative of sin⁻¹(x) is:
17. The derivative of cos⁻¹(x) is:
18. The derivative of tan⁻¹(x) is:
19. The derivative of |x| at x = 2 is:
20. If f(x) = 5x³ − 3x² + 2x − 7, then f'(x) equals:
21. The derivative of sinh(x) is:
22. The derivative of cosh(x) is:
23. The derivative of x^(1/2) equals:
24. Question?
25. Question?