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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 = 4x^(3/2).

    Answer

  2. Question 2

    Differentiate y = −3/x².

    Answer

  3. Question 3

    Differentiate y = 4√x.

    Answer

  4. Question 4

    Differentiate y = 4/x³.

    Answer

  5. Question 5

    Differentiate y = 12√x.

    Answer

  6. Question 6

    Differentiate y = 5/x³.

    Answer

  7. Question 7

    Differentiate y = 2√x.

    Answer

  8. Question 8

    Differentiate y = 5/x³.

    Answer

  9. Question 9

    Differentiate y = 4√x.

    Answer

  10. Question 10

    Differentiate y = −5/x².

    Answer

  11. Question 11

    Differentiate y = 10√x.

    Answer

  12. Question 12

    Differentiate y = 1/x³.

    Answer

  13. Question 13

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

    Answer

  14. Question 14

    Differentiate y = 1/x.

    Answer

  15. Question 15

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

    Answer

  16. Question 16

    Differentiate y = 4/x.

    Answer

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Answer key: Differentiate negative and fractional powers

  1. 1. 6*sqrt(x)

  2. 2. 6/x^3

  3. 3. 2/sqrt(x)

  4. 4. -12/x^4

  5. 5. 6/sqrt(x)

  6. 6. -15/x^4

  7. 7. 1/sqrt(x)

  8. 8. -15/x^4

  9. 9. 2/sqrt(x)

  10. 10. 10/x^3

  11. 11. 5/sqrt(x)

  12. 12. -3/x^4

  13. 13. 3*sqrt(x)

  14. 14. -1/x^2

  15. 15. 3*sqrt(x)

  16. 16. -4/x^2