Calculus Challenge
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Questions and Answers

Which branch of calculus deals with finding the different properties of integrals and derivatives of functions?

  • Differential calculus
  • Integral calculus
  • Both differential and integral calculus (correct)
  • None of the above

    • Which equation represents the derivative of a function f(x)?

  • $f(x) = rac{dy}{dx}$
  • $f'(x) = dy/dx$
  • $f'(x) = rac{dy}{dx}$ (correct)
  • $f(x) = dy/dx$

    • What is the fundamental theorem of calculus?

  • The summation of infinitesimal differences
  • The relationship between differential calculus and integral calculus (correct)
  • The rate of change of one quantity with respect to another
  • The study of continuous change of a function

    • Which branch of calculus deals with describing the ways in which related quantities change?

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

    What is the derivative of a function f(x)?

    <p>The rate of change of the dependent variable with respect to the independent variable</p> Signup and view all the answers

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