Calculus Quiz
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Questions and Answers

Which branch of mathematics studies continuous change?

  • Geometry
  • Differential calculus (correct)
  • Algebra
  • Integral calculus

Which branch of calculus concerns accumulation of quantities and areas under or between curves?

  • Algebra
  • Integral calculus (correct)
  • Differential calculus
  • Geometry

How are differential calculus and integral calculus related to each other?

  • They are both branches of geometry
  • They are related by the fundamental theorem of calculus (correct)
  • They are branches of algebra
  • They are unrelated

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

<p>Both Isaac Newton and Gottfried Wilhelm Leibniz (A)</p> Signup and view all the answers

What is the fundamental theorem of calculus?

<p>The relationship between differential calculus and integral calculus (B)</p> Signup and view all the answers

Which branch of calculus concerns instantaneous rates of change and the slopes of curves?

<p>Differential calculus (C)</p> Signup and view all the answers

What do differential calculus and integral calculus make use of?

<p>Limits (D)</p> Signup and view all the answers

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

<p>Gottfried Wilhelm Leibniz (D)</p> Signup and view all the answers

What is the fundamental theorem of calculus?

<p>The derivative of an integral is the original function (C)</p> Signup and view all the answers

What are the two major branches of calculus?

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

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