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Questions and Answers

What are the two major branches of calculus?

  • Trigonometric calculus and exponential calculus
  • Vector calculus and matrix calculus
  • Differential calculus and integral calculus (correct)
  • Algebraic calculus and geometric calculus

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

  • René Descartes and Blaise Pascal
  • Carl Friedrich Gauss and Joseph-Louis Lagrange
  • Leonhard Euler and Pierre-Simon Laplace
  • Isaac Newton and Gottfried Wilhelm Leibniz (correct)

    • What does differential calculus primarily concern?

  • Convergence of infinite sequences and series
  • Generalizations of arithmetic operations
  • Instantaneous rates of change and slopes of curves (correct)
  • Accumulation of quantities and areas under curves

    • What is the primary focus of integral calculus?

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

    How are the two branches of calculus related to each other?

    <p>By the fundamental theorem of calculus</p> Signup and view all the answers

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