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20 questions and an answer page, sized for A4.

Derivative at a point

Year 12 · Calculus · 20 questions

Name
Date
  1. 1.
    If f(x) = 5x² − 8x + 6, find f'(-1).
  2. 2.
    If f(x) = 4x² + 7x + 1, find f'(3).
  3. 3.
    If f(x) = 2x³ − x − 5, find f'(-1).
  4. 4.
    If f(x) = 5x² − 3x − 2, find f'(1).
  5. 5.
    If f(x) = x⁴ + 4x − 6, find f'(-2).
  6. 6.
    If f(x) = x³ − 2x − 7, find f'(2).
  7. 7.
    If f(x) = 2x³ − 6x − 7, find f'(0).
  8. 8.
    If f(x) = 2x³ − 2x − 1, find f'(-2).
  9. 9.
    If f(x) = 3x³ − 3x + 7, find f'(3).
  10. 10.
    If f(x) = 4x² − 2x + 2, find f'(2).
  11. 11.
    If f(x) = 2x⁴ − 8x + 5, find f'(-3).
  12. 12.
    If f(x) = 3x⁴ + 5x − 5, find f'(-1).
  13. 13.
    If f(x) = x⁴ + 6x − 6, find f'(3).
  14. 14.
    If f(x) = 2x³ − 5x + 7, find f'(-3).
  15. 15.
    If f(x) = x³ + x + 4, find f'(-3).
  16. 16.
    If f(x) = 3x² − 2x − 2, find f'(3).
  17. 17.
    If f(x) = 2x⁴ − 5x + 9, find f'(3).
  18. 18.
    If f(x) = 3x⁴ + 8x + 4, find f'(2).
  19. 19.
    If f(x) = 2x³ + 3x − 2, find f'(1).
  20. 20.
    If f(x) = 2x² + 4x + 7, find f'(-2).

Free maths worksheets and practice: rocketdigits.com/learn/derivative-at-a-point

Answers: Derivative at a point

  1. -18
  2. 31
  3. 5
  4. 7
  5. -28
  6. 10
  7. -6
  8. 22
  9. 78
  10. 14
  11. -224
  12. -7
  13. 114
  14. 49
  15. 28
  16. 16
  17. 211
  18. 104
  19. 9
  20. -4

Free maths worksheets and practice: rocketdigits.com/learn/derivative-at-a-point

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