Calculus: Derivatives and Differentiation
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Questions and Answers

What is the geometric interpretation of the derivative of a function at a point?

  • The area under the curve at that point
  • The slope of the tangent line at that point (correct)
  • The x-intercept of the tangent line at that point
  • The rate of change of the function at that point
  • Which rule of differentiation is used to find the derivative of a composite function?

  • Power rule
  • Product rule
  • Chain rule (correct)
  • Quotient rule
  • What is the purpose of implicit differentiation?

  • To find the slope of a tangent line
  • To find the derivative of a function implicitly defined (correct)
  • To find the area under a curve
  • To find the derivative of a function explicitly
  • What is the relationship between the derivative of a function and the slope of the tangent line to the graph?

    <p>The derivative is equal to the slope of the tangent line</p> Signup and view all the answers

    Which of the following is NOT a differentiation rule?

    <p>Integration rule</p> Signup and view all the answers

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