Calculus Challenge
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Questions and Answers

What are the two major branches of calculus?

  • Calculus and Geometry
  • Trigonometry and Calculus
  • Differential Calculus and Integral Calculus (correct)
  • Geometry and Algebra
  • Which branch of mathematics is calculus a part of?

  • Calculus (correct)
  • Geometry
  • Algebra
  • Trigonometry
  • What does differential calculus primarily deal with?

  • Convergence of infinite sequences and infinite series
  • Accumulation of quantities and areas under curves
  • Instantaneous rates of change and slopes of curves (correct)
  • Limits and infinite series
  • What does integral calculus primarily deal with?

    <p>Accumulation of quantities and areas under curves</p> Signup and view all the answers

    Who independently developed infinitesimal calculus in the late 17th century?

    <p>Isaac Newton and Gottfried Wilhelm Leibniz</p> Signup and view all the answers

    Which two major branches of calculus are related to each other by the fundamental theorem of calculus?

    <p>Differential calculus and integral calculus</p> Signup and view all the answers

    What does differential calculus primarily deal with?

    <p>Instantaneous rates of change and slopes of curves</p> Signup and view all the answers

    What does integral calculus primarily deal with?

    <p>Accumulation of quantities and areas under or between curves</p> Signup and view all the answers

    Who developed infinitesimal calculus independently in the late 17th century?

    <p>Isaac Newton and Gottfried Wilhelm Leibniz</p> Signup and view all the answers

    What are the fundamental notions used in calculus?

    <p>Convergence of infinite sequences and infinite series to a well-defined limit</p> Signup and view all the answers

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