Derivative an its applications.

Derivative, in mathematics, the 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.