Derivative Of A Function

8 Questions | Total Attempts: 258

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Derivative Of A Function

. How are a function and its derivative related? When does the derivative not exist?


Questions and Answers
  • 1. 
    Check all of the options which represent the derivative of f(x) = x4.
    • A. 

      Option 1

    • B. 

      Option 2

    • C. 

      Option 3

    • D. 

      Option 4

    • E. 

      Option 5

    • F. 

      Option 6

    • G. 

      Option 7

  • 2. 
    Estimate G'(7) from the graph of G(x).
    • A. 

      0.2

    • B. 

      0.5

    • C. 

      1

    • D. 

      2

    • E. 

      5

  • 3. 
    At which values of x does the derivative of the graphed function not exist?
    • A. 

      X = –6

    • B. 

      X = –4

    • C. 

      X = –2

    • D. 

      X = –1

    • E. 

      X = 0

    • F. 

      X = 2

    • G. 

      X = 3

    • H. 

      X = 4

  • 4. 
    STATEMENT: All continuous functions are differentiable.
    • A. 

      True

    • B. 

      False

  • 5. 
    All differentiable functions are continuous.
    • A. 

      True

    • B. 

      False

  • 6. 
    If a function has a discontinuity at x = a, then the function does not have a derivative at x = a.
    • A. 

      True

    • B. 

      False

  • 7. 
    The derivative does not exist at a cusp, but it does exist at a corner.
    • A. 

      True

    • B. 

      False

  • 8. 
    You have practiced applying algebraic techniques to find the derivative of functions from the definition of derivative (limit of a difference quotient).
    • A. 

      True

    • B. 

      False

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