Total Questions : 50
Expected Time : 50 Minutes

1. If f(x) = ln(cos(x)), what is the derivative of f(x) with respect to x?

2. What is the derivative of the function f(x) = sqrt(x) with respect to x?

3. If s(x) = 3e^(-x), what is the derivative of s(x) with respect to x?

4. What is the derivative of the function f(x) = 4x - 7 with respect to x?

5. If y = sin(x), what is the derivative of y with respect to x?

6. Find the derivative of the function f(x) = (2x^3 - 5x^2 + 3x + 1) / (x^2 - 2x + 1) with respect to x.

7. What is the derivative of the function g(x) = 3x^2 + 4x + 1 with respect to x?

8. What is the derivative of the function f(x) = -5x^2 + 3x - 2 with respect to x?

9. If y = sinh^(-1)(2x), what is the derivative of y with respect to x?

10. If p(x) = ln(x^2), what is the derivative of p(x) with respect to x?

11. If y = e^x, what is the derivative of y with respect to x?

12. If p(x) = 2ln(5x), what is the derivative of p(x) with respect to x?

13. If f(x) = e^(-2x), what is the derivative of f(x) with respect to x?

14. If g(x) = ln(3x), what is the derivative of g(x) with respect to x?

15. If y = e^(x^2), what is the derivative of y with respect to x?

16. Find the derivative of cos^(-1)(3x) with respect to x.

17. If f(x) = e^x, what is the derivative of f(x) with respect to x?

18. Find the derivative of the function g(x) = (sin(x) + cos(x))^2 with respect to x.

19. If y = ln(2x), what is the derivative of y with respect to x?

20. If y = cosh(2x), what is the derivative of y with respect to x?

21. Find the derivative of tan^(-1)(2x) with respect to x.

22. If g(x) = e^(-cos(x)), what is the derivative of g(x) with respect to x?

23. What is the derivative of the constant function f(x) = 7 with respect to x?

24. If y = sqrt(2x), what is the derivative of y with respect to x?

25. Find the derivative of the function f(x) = arctan(5x) with respect to x.

26. If y = sqrt(x), what is the derivative of y with respect to x?

27. If y = cos(4x), what is the derivative of y with respect to x?

28. Find the derivative of the function g(x) = ln(3x + 1) with respect to x.

29. If h(x) = 2e^x, what is the derivative of h(x) with respect to x?

30. What is the derivative of the function f(x) = -3x^2 + 6x - 1 with respect to x?

31. If g(x) = 3x^2 + 2x + 1, what is the derivative of g(x) with respect to x?

32. What is the derivative of the function f(x) = sin(3x) with respect to x?

33. What is the derivative of the function f(x) = 3x^2 + 2x - 1 with respect to x?

34. If y = ln(sinh(x)), what is the derivative of y with respect to x?

35. What is the derivative of tan(x) with respect to x?

36. If r(x) = 4x^3 - 2x + 5, what is the derivative of r(x) with respect to x?

37. Find the derivative of the function g(x) = e^(x^2) - ln(x) with respect to x.

38. If h(x) = sinh^(-1)(3x), what is the derivative of h(x) with respect to x?

39. If g(x) = e^(cos(x)), what is the derivative of g(x) with respect to x?

40. What is the derivative of the function f(x) = ln(x) with respect to x?

41. Find the derivative of the function f(x) = tan^(-1)(3x) with respect to x.

42. What is the derivative of the function f(x) = 8x^2 - 4x + 3 with respect to x?

43. If f(x) = ln(x), what is the derivative of f(x) with respect to x?

44. Find the derivative of cos^(-1)(2x) with respect to x.

45. If y = x^3, what is the derivative of y with respect to x?

46. What is the derivative of the function f(x) = 4x^3 - 6x^2 + 2x + 5 with respect to x?

47. If q(x) = sqrt(x) + 3x, what is the derivative of q(x) with respect to x?

48. What is the derivative of the function f(x) = 2x^3 + 5x^2 - 4x + 1 with respect to x?

49. What is the derivative of the constant function f(x) = -3 with respect to x?

50. Find the derivative of sin^(-1)(4x) with respect to x.