Q1: 1. What is the limit of f(x) = 2x + 3 as x approaches 4?

• A) 8
• B) 11
• C) 15
• D) 17

Q2: 2. What is the derivative of h(x) = 3x^2 - 5x + 2?

• A) 6x - 5
• B) 6x - 5
• C) 6x - 2
• D) 6x - 7

Q3: 3. Find the limit of g(x) = (x^2 + 3x + 2) / (x + 2) as x approaches -2.

• A) 1
• B) -1
• C) 3
• D) 4

Q4: 4. If f'(x) = 4x - 2, what is the derivative of f(x) = 2x^2 - 2x + 5?

• A) 4x - 2
• B) 4x - 4
• C) 4x - 5
• D) 4x - 7

Q5: 5. Evaluate the limit lim(x->2) (2x^2 - x + 3).

• A) 9
• B) 5
• C) 7
• D) 11

Q6: 6. Find the derivative of y = 4x^3 - x^2 + 2x - 5.

• A) 12x^2 - 2x + 2
• B) 12x^2 - 2x + 5
• C) 12x^2 - x + 2
• D) 12x^3 - x^2 + 2

Q7: 7. Calculate the limit lim(x->3) (x^2 - 9) / (x - 3).

• A) 3
• B) 6
• C) 8
• D) 0

Q8: 8. If f(x) = 5x^3 - 2x^2 + 3x + 4, find f'(x).

• A) 15x^2 - 4x + 3
• B) 15x^2 - 4x + 4
• C) 15x^2 - 4x + 1
• D) 15x^3 - 4x^2 + 3

Q9: 9. Evaluate the limit lim(x->5) (2x + 1) / (x - 4).

• A) 3
• B) 4
• C) 5
• D) 6

Q10: 10. Find the derivative of y = 3x^4 - 2x^3 + 5x^2.

• A) 12x^3 - 6x^2 + 10x
• B) 12x^3 - 6x^2 + 5x
• C) 12x^4 - 6x^3 + 5x^2
• D) 12x^4 - 6x^3 + 10x^2

Q11: 11. Determine the limit lim(x->1) (x^3 - x) / (x - 1).

• A) 1
• B) 2
• C) 3
• D) 4

Q12: 12. If f'(x) = 2x - 3, what is the derivative of f(x) = x^2 - 3x + 4?

• A) 2x - 3
• B) 2x - 4
• C) 2x - 5
• D) 2x - 6

Q13: 13. Evaluate the limit lim(x->0) (sin(x) / x).

• A) 0
• B) 1
• C) -1
• D) Undefined

Q14: 14. Find the derivative of y = 4x^5 - 3x^4 + 2x^2 - x.

• A) 20x^4 - 12x^3 + 4x - 1
• B) 20x^4 - 12x^3 + 4x^2 - 1
• C) 20x^5 - 12x^4 + 4x^2 - 1
• D) 20x^5 - 12x^4 + 4x - 1

Q15: 15. Determine the limit lim(x->2) (x^2 + 2x - 8) / (x - 2).

• A) 5
• B) 6
• C) 7
• D) 8

Q16: 16. If g'(x) = 3x^2 - 2x, what is the derivative of g(x) = x^3 - x^2 + 5x - 1?

• A) 3x^3 - x^2 + 5
• B) 3x^3 - x^2 + 5x
• C) 3x^4 - x^3 + 5x
• D) 3x^4 - x^3 + 5

Q17: 17. Calculate the limit lim(x->4) (3x^2 - 2x + 1) / (x - 4).

• A) 6
• B) 7
• C) 8
• D) 9

Q18: 18. If h(x) = x^4 - 2x^2 + 3x - 7, find h'(x).

• A) 4x^3 - 4x + 3
• B) 4x^3 - 4x + 2
• C) 4x^3 - 2x + 3
• D) 4x^4 - 4x^2 + 3

Q19: 19. Evaluate the limit lim(x->π/2) (cos(x) / (π/2 - x)).

• A) 1
• B) -1
• C) 0
• D) Undefined

Q20: 20. Find the derivative of y = 5x^3 - 2x^2 + 3x + 1.

• A) 15x^2 - 4x + 3
• B) 15x^2 - 4x + 2
• C) 15x^3 - 4x^2 + 3
• D) 15x^3 - 4x^2 + 2

Q21: 21. Determine the limit lim(x->-2) (x^2 + 4x + 4) / (x + 2).

• A) 0
• B) 2
• C) 4
• D) 6

Q22: 22. If f'(x) = 3x^2 - 2x, what is the derivative of f(x) = x^3 - x^2 + 4x - 2?

• A) 3x^3 - x^2 + 4
• B) 3x^3 - x^2 + 4x
• C) 3x^4 - x^3 + 4x
• D) 3x^4 - x^3 + 4

Q23: 23. Calculate the limit lim(x->3) (2x^2 - 5x + 3) / (x - 3).

• A) 4
• B) 5
• C) 6
• D) 7

Q24: 24. If g(x) = 4x^3 - 3x^2 + 2x + 5, find g'(x).

• A) 12x^2 - 6x + 2
• B) 12x^2 - 6x + 5
• C) 12x^3 - 6x^2 + 2
• D) 12x^3 - 6x^2 + 5

Q25: 25. Evaluate the limit lim(x->-1) (x^3 + 3x^2 + 3x + 1) / (x + 1).

• A) 1
• B) 3
• C) 5
• D) 7