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Derivatives of inverse trig functions Quiz: printable

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Derivatives of inverse trig functions Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/derivatives-of-inverse-trig-functions/quiz/

  1. 1

    Find the derivative of sin−1(x).

    Answer: ____________________

  2. 2

    Find the derivative of cos−1(x).

    Answer: ____________________

  3. 3

    Find the derivative of 2tan−1(x).

    Answer: ____________________

  4. 4

    Find the derivative of arcsin(x).

    Answer: ____________________

  5. 5

    Find the derivative of tan−1(2x).

    Answer: ____________________

  6. 6

    Find the derivative of tan−1(5x).

    Answer: ____________________

  7. 7

    Find the derivative of sin−1(x2).

    Answer: ____________________

  8. 8

    Find the derivative of cos−1(x2).

    Answer: ____________________

  9. 9

    Find the derivative of sin−1(2x3).

    Answer: ____________________

  10. 10

    Find the derivative of tan−1(3x + 2).

    Answer: ____________________

Answer key

  1. 1/(√(1 − x²))
  2. −1/(√(1 − x²))
  3. 2/(1 + x²)
  4. 1/(√(1 − x²))
  5. 2/(1 + 4x2)
  6. 5/(1 + 25x2)
  7. 2x/(√(1 − x4))
  8. −2x/(√(1 − x4))
  9. 6x2/(√(1 − 4x6))
  10. 3/(1 + (3x + 2)2)

Every answer solved step by step: steplyclass.com/calculus-1/derivatives-of-inverse-trig-functions/quiz/answers/