Derivative and its application 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.