Differential and Integral Calculus Concepts
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Questions and Answers

What was the original motivation for the concept of the derivative in Differential Calculus?

  • Solving practical and theoretical problems
  • Defining tangent lines to the graphs of functions and calculating the slope of such lines (correct)
  • Determining the position of an object at any instant
  • Defining and calculating the area of the region bounded by the graph of the functions

    • What do we call the functions that could possibly have a given function as a derivative?

  • Anti derivatives (correct)
  • Instantaneous velocities
  • Tangent functions
  • Indefinite integrals

    • What is the process of finding anti derivatives called in Integral Calculus?

  • Definite integration
  • Integration (correct)
  • Indefinite integration
  • Differentiation

    • What type of problems does the development of integral calculus arise out of?

    <p>Finding a function whenever its derivative is given</p> Signup and view all the answers

    If a function f is differentiable in an interval I, what arises as a natural question?

    <p>Can we determine the function?</p> Signup and view all the answers

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