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Calculus Problem Solving Guide

Learn how to find critical numbers, endpoints, and use derivatives to solve calculus problems step by step. Improve your calculus skills with clear explanations and examples provided.

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Calculus Problem Solving Guide

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  1. Problem #1 Endpoints Critical numbers Plug in critical numbers and endpoints into f(x) to find the largest f(x) D Mathboat.com

  2. Problem #2 A Mathboat.com

  3. Problem #3 y=f’(x) 2 1 0 Solution: Given: f (2) = 4 From the graph: f’(2) = 0 [f’(x)]’ = f’’(x) At x=2, f’(x) is decreasing. f’’(2) is negative. f’’ (2) < f’ (2) < f (2) zero four, positive negative C Mathboat.com

  4. Problem #4 C Mathboat.com

  5. Problem #5 Solution: C Mathboat.com

  6. Problem #6 B Mathboat.com

  7. Problem #7 C Mathboat.com

  8. Problem #8 By the definition of inverse: Let’s find f’(3) Set f(x)= -1 C Mathboat.com

  9. Problem #9 - . 4 + max Local maximum is the absolute maximum since function is first increasing, then decreasing D Mathboat.com

  10. Problem #10 B Mathboat.com

  11. Problem #11 A Mathboat.com

  12. Problem #12 B Mathboat.com

  13. Problem #13 2y=x2+4 ; y= x2 Find the points of intersections of these two curves: Substitute into the formula D Mathboat.com

  14. Problem #14 By definition of derivative, D Mathboat.com

  15. Problem #15 D Mathboat.com

  16. Problem #16 OR By 2nd fundamental theorem B Mathboat.com

  17. Problem #17 y + a b c d x - D Mathboat.com

  18. Problem #18 A Mathboat.com

  19. Problem #19 Implicitly differentiate Factor out Plug in x=0, y=1 C Mathboat.com

  20. Problem #20 E Mathboat.com

  21. Problem #21 D Mathboat.com

  22. Problem #22 B Mathboat.com

  23. Problem #23 D Mathboat.com

  24. Problem #24 1.All dashes on the same vertical axis are does not have y B Mathboat.com

  25. Problem #25 D Mathboat.com

  26. Problem #26 Find critical numbers by finding zero(s) of when and is increasing at and C Mathboat.com

  27. Problem #27 C Mathboat.com

  28. Problem #28 B Mathboat.com

  29. Problem #29 B Mathboat.com

  30. Problem #30 By 2nd Fundamental Theorem of Calculus Area under the curve = area of the triangle 1 1 B Mathboat.com

  31. Problem #31 Find the x-intercepts: C Mathboat.com

  32. Problem #32 A Mathboat.com

  33. Problem #33 = 8 C Mathboat.com

  34. Problem #34 B Mathboat.com

  35. Problem #35 D Mathboat.com

  36. Problem # 36 D Mathboat.com

  37. Problem #37 D Mathboat.com

  38. Problem #38 By 2nd Fundamental Theorem of Calculus: A Mathboat.com

  39. Problem #39 Graph it! C Mathboat.com

  40. Problem #40 R r E Mathboat.com

  41. Problem #41 B Mathboat.com

  42. Problem #42 _ + D Mathboat.com

  43. Problem #43 B Mathboat.com

  44. Problem #44 -9 3 C Mathboat.com

  45. Problem #45 or D Mathboat.com

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