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20 questions and an answer page, sized for A4.

Differentiate with the power rule

Year 12 · Calculus · 20 questions

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

Free maths worksheets and practice: rocketdigits.com/learn/differentiate-with-the-power-rule

Answers: Differentiate with the power rule

  1. 3x2+2
  2. 6x+1
  3. 2x-4
  4. 6x-7
  5. 10x+7
  6. 6x2-7
  7. 4x-6
  8. 3x2+1
  9. 6x-7
  10. 16x3+6
  11. 6x2+1
  12. 4x3-2
  13. 12x2+8
  14. 9x2
  15. 4x3-5
  16. 12x3-1
  17. 4x-9
  18. 2x-2
  19. 8x+3
  20. 4x-7

Free maths worksheets and practice: rocketdigits.com/learn/differentiate-with-the-power-rule

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