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20 questions and an answer page, sized for A4.

Stationary points

Year 12 · Calculus · 20 questions

Name
Date
  1. 1.
    Where are the stationary points of y = x³ − 1.5x² − 18x?
    a)x = 3b)x = 4 and x = -3c)x = -2 and x = 3d)x = -3 and x = 2
  2. 2.
    At what value of x is the stationary point of y = 2x² − 16x − 5?
  3. 3.
    At what value of x is the stationary point of y = -2x² − 20x − 4?
  4. 4.
    What kind of stationary point does y = x² − 4x − 3 have?
    a)Minimumb)Maximum
  5. 5.
    What kind of stationary point does y = 3x² + 30x + 2 have?
    a)Minimumb)Maximum
  6. 6.
    At what value of x is the stationary point of y = -2x² + 20x − 5?
  7. 7.
    Where are the stationary points of y = x³ − 4.5x² − 12x?
    a)x = 4b)x = -1 and x = 4c)x = -4 and x = 1d)x = 5 and x = -2
  8. 8.
    At what value of x is the stationary point of y = 3x² − 12x + 7?
  9. 9.
    What kind of stationary point does y = x² + 6x − 3 have?
    a)Minimumb)Maximum
  10. 10.
    Where are the stationary points of y = x³ − 1.5x² − 36x?
    a)x = -3 and x = 4b)x = -2 and x = 3c)x = -3d)x = 3 and x = -4
  11. 11.
    Where are the stationary points of y = x³ + 4.5x² + 6x?
    a)x = 1 and x = 2b)x = -1c)x = 0 and x = -3d)x = -2 and x = -1
  12. 12.
    At what value of x is the stationary point of y = 2x² − 12x?
  13. 13.
    At what value of x is the stationary point of y = -2x² + 16x + 3?
  14. 14.
    What kind of stationary point does y = -2x² + 12x − 4 have?
    a)Minimumb)Maximum
  15. 15.
    What kind of stationary point does y = x² − 4x − 8 have?
    a)Minimumb)Maximum
  16. 16.
    At what value of x is the stationary point of y = -x² + 10x − 2?
  17. 17.
    At what value of x is the stationary point of y = -x² + 7?
  18. 18.
    At what value of x is the stationary point of y = x² + 4x − 9?
  19. 19.
    At what value of x is the stationary point of y = x² − 4x + 2?
  20. 20.
    What kind of stationary point does y = x² + 10x + 1 have?
    a)Minimumb)Maximum

Free maths worksheets and practice: rocketdigits.com/learn/stationary-points

Answers: Stationary points

  1. c) x = -2 and x = 3
  2. 4
  3. -5
  4. a) Minimum
  5. a) Minimum
  6. 5
  7. b) x = -1 and x = 4
  8. 2
  9. a) Minimum
  10. a) x = -3 and x = 4
  11. d) x = -2 and x = -1
  12. 3
  13. 4
  14. b) Maximum
  15. a) Minimum
  16. 5
  17. 0
  18. -2
  19. 2
  20. a) Minimum

Free maths worksheets and practice: rocketdigits.com/learn/stationary-points

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