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Implicit differentiation Quiz: printable

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Implicit differentiation Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus/implicit-differentiation/quiz/

  1. 1

    x2 + y2 = 25, find dy/dx

    Answer: ____________________

  2. 2

    y2 = 4x, find dy/dx

    Answer: ____________________

  3. 3

    x2 + y2 = 100, find the slope at (6, −8)

    Answer: ____________________

  4. 4

    x2 + 4y2 = 20, find dy/dx

    Answer: ____________________

  5. 5

    Xy = 6, find the slope at (2, 3)

    Answer: ____________________

  6. 6

    x3 + y3 = 9, find dy/dx

    Answer: ____________________

  7. 7

    y2 + 3y = x2, find dy/dx

    Answer: ____________________

  8. 8

    3x2 + y2 = 21, find the slope at (2, 3)

    Answer: ____________________

  9. 9

    x2 + xy + y2 = 7, find dy/dx

    Answer: ____________________

  10. 10

    Xy + y2 = 12, find dy/dx

    Answer: ____________________

Answer key

  1. −xy
  2. 2y
  3. −xy
  4. −x4y
  5. −yx
  6. −x2y2
  7. 2x/(2y + 3)
  8. −3xy
  9. −2x + yx + 2y
  10. −y/(x + 2y)

Every answer solved step by step: steplyclass.com/calculus/implicit-differentiation/quiz/answers/