Grade 12 Introductory calculus worksheet

What is on the worksheet

1. f(x) = 5x³ + 7x² + (7)x. Find f′(1).

2. f(x) = 5x³ + 10x² + (-5)x. Find f′(-5).

3. Evaluate the definite integral of (2x + 13) from x = 4 to x = 11.

4. Evaluate the definite integral of (14x + 10) from x = 0 to x = 2.

5. For f(x) = 7x^2, find f′(5).

6. f(x) = 6x³ + 10x² + (-5)x. Find f′(5).

7. Find the limit of 8x² + 2 as x approaches -6.

8. Find the limit of 5x² + 11 as x approaches -6.

9. Evaluate the definite integral of 20x^4 from x = 0 to x = 1.

10. Find the limit of 9x² + 13 as x approaches -6.

11. For f(x) = 12x^4, find f′(3).

12. Find the limit of 6x² + 9 as x approaches 0.

13. Evaluate the definite integral of (22x + 3) from x = 3 to x = 7.

14. Evaluate the definite integral of 21x^2 from x = 0 to x = 3.

15. Evaluate the definite integral of (20x + 4) from x = 3 to x = 7.

16. Evaluate the definite integral of (18x + 15) from x = 4 to x = 11.

17. Evaluate the definite integral of 12x^1 from x = 0 to x = 6.

18. f(x) = 6x³ + 6x² + (8)x. Find f′(-1).

19. f(x) = 4x³ + 9x² + (3)x. Find f′(5).

20. f(x) = 2x³ + 9x² + (8)x. Find f′(4).