- Books Name
- Mathmatics Book Based on NCERT
- Publication
- KRISHNA PUBLICATIONS
- Course
- CBSE Class 12
- Subject
- Mathmatics
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