Chapter 12 : Limits And Derivatives

10 Questions | Total Attempts: 40

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Chapter 12 : Limits And Derivatives

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Questions and Answers
  • 1. 
    1. Which of the following is the product rule for derivatives utilizing the original function h(x) = f(x)g(x) ?
    • A. 

      H'(x)= f'(x)g'(x)

    • B. 

      H'(x)=f'(x)g(x) - f(x)g'(x)

    • C. 

      H'(x)=f'(x)g'(x) + f(x)g(x)

    • D. 

      H'(x)=f'(x)g(x) + f(x)g'(x)

  • 2. 
    2. Which of the following is the derivative of f(x)= x+ x + 2 ?
    • A. 

      2x

    • B. 

      X+ x

    • C. 

      2x + 1

    • D. 

      0

  • 3. 
    3. Which of the following is the quotient rule for derivatives?
    • A. 

      H'(x)=((g(x)f'(x) + f(x)g'(x)) / (g(x))2

    • B. 

      H'(x)=((g'(x)f'(x) - f(x)g(x)) / (g(x))

    • C. 

      H'(x)=((g(x)f'(x) - f(x)g'(x)) / (g(x))2

    • D. 

      H'(x)=((g'(x)f'(x) + f(x)g(x)) / (g(x))

  • 4. 
    4. What rule should be used in deriving f(x) = x5
    • A. 

      Constant rule

    • B. 

      Power rule

    • C. 

      Difference rule

    • D. 

      Sum rule

  • 5. 
    5. Another word for 'integral' is .. .
    • A. 

      Constant

    • B. 

      Derivative

    • C. 

      Theorem

    • D. 

      Antiderivative

  • 6. 
    6. What does C represent in an antiderivative?
    • A. 

      A variable

    • B. 

      A constant

    • C. 

      None 

  • 7. 
    8. What is the limit?
    • A. 

      20

    • B. 

      12

    • C. 

      Infinity

    • D. 

      DNE

  • 8. 
    • A. 

      A

    • B. 

    • C. 

      C

    • D. 

      D

  • 9. 
    • A. 

      0

    • B. 

      4/3

    • C. 

      -3/2

    • D. 

      Infinity

  • 10. 
    10. ∫ 4 dx
    • A. 

      4

    • B. 

      4x + C

    • C. 

      4t + C

    • D. 

      2x2 + C

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