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Differentiate negative and fractional powers

12th grade (Year 13 in England) · 16 questions · Common Core: HSN.RN.A.2 · England: A-level Pure Mathematics

Name

Date

Score/ 16

  1. Question 1

    Differentiate y = 2/x³.

    Answer

  2. Question 2

    Differentiate y = 8√x.

    Answer

  3. Question 3

    Differentiate y = 1/x.

    Answer

  4. Question 4

    Differentiate y = 10x^(3/2).

    Answer

  5. Question 5

    Differentiate y = 7/x².

    Answer

  6. Question 6

    Differentiate y = 10x^(3/2).

    Answer

  7. Question 7

    Differentiate y = 5/x.

    Answer

  8. Question 8

    Differentiate y = 12√x.

    Answer

  9. Question 9

    Differentiate y = 8/x³.

    Answer

  10. Question 10

    Differentiate y = 2x^(3/2).

    Answer

  11. Question 11

    Differentiate y = −4/x.

    Answer

  12. Question 12

    Differentiate y = 10x^(3/2).

    Answer

  13. Question 13

    Differentiate y = −2/x.

    Answer

  14. Question 14

    Differentiate y = 12√x.

    Answer

  15. Question 15

    Differentiate y = 5/x³.

    Answer

  16. Question 16

    Differentiate y = 4√x.

    Answer

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  1. -6/x^4
  2. 4/sqrt(x)
  3. -1/x^2
  4. 15*sqrt(x)
  5. -14/x^3
  6. 15*sqrt(x)
  7. -5/x^2
  8. 6/sqrt(x)
  9. -24/x^4
  10. 3*sqrt(x)
  11. 4/x^2
  12. 15*sqrt(x)
  13. 2/x^2
  14. 6/sqrt(x)
  15. -15/x^4
  16. 2/sqrt(x)