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Question

Why do we Differentiate?


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Solution

Differentiation:

  1. The differentiation of a function is the process of finding its derivative.
  2. The derivative of a function gives the rate of change of the function.
  3. Differentiating a function with respect to a variable determines how the variable affects the function.

Uses of differentiation:

  1. Differentiation is used to determine the instantaneous rate of change of quantities.
  2. For instance, if we want to find the velocity of a car, we can do it by using differentiation. Mathematically, it is expressed as v=dsdt, where s is displacement an. is time.
  3. It is used to find the trend of a quantity, whether it is increasing, decreasing or constant. Therefore, they can be used in market research.
  4. It is also used to derive various equations and find the slope of a curve.

Hence, differentiation is used for various purposes like market research, finding the rate of change of quantities, and many more.


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