Basic Derivative Calculations

5 Questions  I  By ProfessorTuskey
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Derivative Quizzes & Trivia
5 questions on the most basic derivative calculations a successful calculus student should know.

  
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Questions and Answers

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  • 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


  • 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)


  • 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.

  • 4. 
    Find the slope tangent to the graph of f(x) = x*e^(2x) at x = 1.  Enter a decimal rounded two decimal places.

  • 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.

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