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Calculus Quiz
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Calculus Quiz

Created by
@JoyousSalamander

Questions and Answers

What is the definition of a limit in calculus?

  • The value that a function approaches as the input approaches a certain value (correct)
  • The slope of a tangent line to a curve at a given point
  • The point at which a function reaches a maximum or minimum value
  • The average value of a function over a specific interval

    • What does the derivative of a function represent?

  • The maximum value of the function
  • The average value of the function over a specific interval
  • The area under the curve of the function
  • The rate of change of the function with respect to its input (correct)

    • In the context of calculus, what does the chain rule refer to?

  • The rule for finding the area under a curve
  • The rule for finding the derivative of a composite function (correct)
  • The rule for finding the limit of a function as it approaches infinity
  • The rule for finding the maximum value of a function

    • What is the derivative of a constant function?

    <p>Zero</p> Signup and view all the answers

    In the context of limits, what does it mean for a function to be continuous at a point?

    <p>The limit of the function equals the value of the function at that point</p> Signup and view all the answers

    What is the derivative of f(x) = x^2?

    <p>2x</p> Signup and view all the answers

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