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Logarithmic differentiation Quiz: printable

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Logarithmic differentiation Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/logarithmic-differentiation/quiz/

  1. 1

    Find the derivative of y = (x + 1)2 (x − 3)4 using logarithms.

    Answer: ____________________

  2. 2

    Find the derivative of y = (x + 2)3 (x − 1)2 using logarithms.

    Answer: ____________________

  3. 3

    Find the derivative of y = (x + 3)2 (x + 1) using logarithms.

    Answer: ____________________

  4. 4

    Find the derivative of y = (x + 1)3 (x − 2)2 using logarithms.

    Answer: ____________________

  5. 5

    Find the derivative of y = (x − 1)4 (x + 5)3 using logarithms.

    Answer: ____________________

  6. 6

    Find the derivative of y = (x − 2)2/(x + 3) using logarithms.

    Answer: ____________________

  7. 7

    Find the derivative of y = (x + 4)5/(x + 1)3 using logarithms.

    Answer: ____________________

  8. 8

    Find the derivative of y = (x + 5)2/(x − 1)4 using logarithms.

    Answer: ____________________

  9. 9

    Find the derivative of y = (x + 1)(x + 2)(x + 3) using logarithms.

    Answer: ____________________

  10. 10

    Find the derivative of y = (x + 1)2 (x + 3)3/(x + 2) using logarithms.

    Answer: ____________________

Answer key

  1. (x + 1)2(x − 3)4(2/(x + 1) + 4/(x − 3))
  2. (x + 2)3(x − 1)2(3/(x + 2) + 2/(x − 1))
  3. (x + 3)2(x + 1)(2/(x + 3) + 1/(x + 1))
  4. (x + 1)3(x − 2)2(3/(x + 1) + 2/(x − 2))
  5. (x − 1)4(x + 5)3(4/(x − 1) + 3/(x + 5))
  6. ((x − 2)2)/((x + 3))(2/(x − 2) − 1/(x + 3))
  7. ((x + 4)5)/((x + 1)3)(5/(x + 4) − 3/(x + 1))
  8. ((x + 5)2)/((x − 1)4)(2/(x + 5) − 4/(x − 1))
  9. (x + 1)(x + 2)(x + 3)(1/(x + 1) + 1/(x + 2) + 1/(x + 3))
  10. ((x + 1)2(x + 3)3)/((x + 2))(2/(x + 1) + 3/(x + 3) − 1/(x + 2))

Every answer solved step by step: steplyclass.com/calculus-1/logarithmic-differentiation/quiz/answers/