Basic Derivative Calculations

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Derivative Quizzes & Trivia

5 questions on the most basic derivative calculations a successful calculus student should know.


Questions and Answers
  • 1. 

    Find the derivative of the function f(x)=x^3 - 4x - 2

    • A.

      F '(x) = x^2 -4

    • B.

      F '(x) = 3x^2 -4

    • C.

      F '(x) = 3x^2 - 4x

    • D.

      F '(x) = x^4 - 4x^2 + 2x

    Correct Answer
    B. F '(x) = 3x^2 -4
  • 2. 

    Find the derivative of the function f(x) = cos(3x)

    • A.

      F '(x) = 3sin(3x)

    • B.

      F '(x) = -3cos(3x)

    • C.

      F '(x) = 3cos(3x)

    • D.

      F '(x) = -3sin(3x)

    Correct Answer
    D. F '(x) = -3sin(3x)
  • 3. 

    Find the slope of the line tangent to the graph of f(x) = x^2 -4 at x = 2. Enter the exact whole number.

    Correct Answer
    4
    4.0
    4.
    4/1
  • 4. 

    Find the slope tangent to the graph of f(x) = x*e^(2x) at x = 1.  Enter a decimal rounded two decimal places.

    Correct Answer
    22.17
  • 5. 

    A rock dropped from a high bridge has height h feet after t seconds given by the model:h(t) = 800 - 16 t^2Find the velocity of the rock in feet per second after 4.5 seconds.  Enter your exact answer, but don't include units.

    Correct Answer
    -144
    -144.0

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 18, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 06, 2010
    Quiz Created by
    ProfessorTuskey
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