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Derivative and its application

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Derivative an its applications.

Derivative, in mathematicsthe rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.


Application of derivative:

There are various applications of derivatives not only in maths and real life but also in other fields like science, engineering, physics, etc.

Application of derivative in maths:

  • Rate of Change of a Quantity
  • Increasing and Decreasing Functions
  • Tangent and Normal to a Curve
  • Minimum and Maximum Values
  • Newton’s Method
  • Linear Approximations

Application of derivatives in real life:

  • To calculate the profit and loss in business using graphs.
  • To check the temperature variation.
  • To determine the speed or distance covered such as miles per hour, kilometer per hour etc.
  • Derivatives are used to derive many equations in Physics.
  • In the study of Seismology like to find the range of magnitudes of the earthquake.