Chapter 6

Applications of Derivatives:

Derivatives  have various important applications in Mathematics such as

  • To find the Rate of Change of a Quantities,
  • To find the equation of Tangent and Normal to a Curve, and
  • To  find turning points on the graph of a function which in turn will help us to locate points at which largest or smallest value (locally) of a function occurs,
  • To find intervals on which a function is increasing or decreasing.
  • To find the Approximation Value,
  • To find the Minimum and Maximum Values of algebraic expressions.

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, kilometre per hour etc.
  • Derivatives are used to derive many equations in Physics.
  • Infinite series representation of functions,
  • Optimization problems