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20 questions and an answer page, sized for A4.

Gradient of a tangent

Year 12 · Calculus · 20 questions

Name
Date
  1. 1.
    What is the gradient of the tangent to y = 3x³ − 9x − 9 at x = -2?
  2. 2.
    What is the gradient of the tangent to y = 5x³ + 8x + 5 at x = -3?
  3. 3.
    What is the gradient of the tangent to y = 2x⁴ + 3x + 2 at x = 0?
  4. 4.
    What is the gradient of the tangent to y = x⁴ + 7x + 6 at x = 3?
  5. 5.
    What is the gradient of the tangent to y = 3x² − x + 3 at x = -3?
  6. 6.
    What is the gradient of the tangent to y = x² − 2x + 8 at x = -2?
  7. 7.
    What is the gradient of the tangent to y = 4x² − 6x + 6 at x = 2?
  8. 8.
    What is the gradient of the tangent to y = 3x² − x − 5 at x = 1?
  9. 9.
    What is the gradient of the tangent to y = x⁴ + 3x − 4 at x = -3?
  10. 10.
    What is the gradient of the tangent to y = 5x⁴ − 9x − 7 at x = -2?
  11. 11.
    What is the gradient of the tangent to y = 2x⁴ + 6x − 1 at x = 3?
  12. 12.
    What is the gradient of the tangent to y = x² + 7x − 7 at x = 2?
  13. 13.
    What is the gradient of the tangent to y = 4x² − 5x − 9 at x = -2?
  14. 14.
    What is the gradient of the tangent to y = 5x³ − 5x − 2 at x = 1?
  15. 15.
    What is the gradient of the tangent to y = 5x⁴ + 7x at x = -1?
  16. 16.
    What is the gradient of the tangent to y = x³ − 3x − 8 at x = -3?
  17. 17.
    What is the gradient of the tangent to y = 2x² − 8x + 3 at x = 2?
  18. 18.
    What is the gradient of the tangent to y = 4x⁴ − 2x − 3 at x = 3?
  19. 19.
    What is the gradient of the tangent to y = 5x⁴ − 9x + 9 at x = 1?
  20. 20.
    What is the gradient of the tangent to y = x⁴ − 4x at x = 1?

Free maths worksheets and practice: rocketdigits.com/learn/gradient-of-a-tangent

Answers: Gradient of a tangent

  1. 27
  2. 143
  3. 3
  4. 115
  5. -19
  6. -6
  7. 10
  8. 5
  9. -105
  10. -169
  11. 222
  12. 11
  13. -21
  14. 10
  15. -13
  16. 24
  17. 0
  18. 430
  19. 11
  20. 0

Free maths worksheets and practice: rocketdigits.com/learn/gradient-of-a-tangent

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