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Questions and Answers
What was the original motivation for the concept of the derivative in Differential Calculus?
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?
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?
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?
What type of problems does the development of integral calculus arise out of?
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If a function f is differentiable in an interval I, what arises as a natural question?
If a function f is differentiable in an interval I, what arises as a natural question?
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