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Chapter 6 Class 12 Application of Derivatives

Master Chapter 6 Class 12 Application of Derivatives with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Learn Chapter 6 Application of Derivatives (AOD) of Class 12 free with solutions of all NCERT Questions for Maths Boards

 

We learned Derivatives in the last chapter, in Chapter 5 Class 12. In this Chapter we will learn the applications of those derivatives.

 

The topics in the chapter include

  • Finding rate of change
  • Checking if a function is increasing or decreasing in an interval
  • Checking if a function is increasing or decreasing in whole domain
  • Finding if function is strictly increasing or decreasing in an interval
  • Finding equation (and slope) of tangent and normal using derivatives
  • Finding approximate value of numbers and functions
  • Finding minimum and maximum values from graph of a function
  • Definition of - Maxima, Minima, Absolute Maxima, Absolute Minima, Point of Inflexion
  • Finding local maxima, local minima using first derivative test
  • Finding local maxima, local minima using second derivative test
  • Finding maximum and minimum values in closed interval (Finding Absolute Maxima and Absolute Minima)
  • Statement questions of maxima and minima where we form equations and solve

Serial order wise

Ex 6.1 Start Learning
Ex 6.2 Start Learning
Ex 6.3 Start Learning
Examples Start Learning
Miscellaneous Start Learning
Case Based Questions (MCQ) Start Learning
NCERT Exemplar - MCQs Start Learning
Tangents and Normals (using Differentiation) Start Learning
Approximations (using Differentiation) Start Learning

Concept wise

Finding rate of change Start Learning
To show increasing/decreasing in whole domain Start Learning
To show increasing/decreasing in intervals Start Learning
Find intervals of increasing/decreasing Start Learning
Finding slope of tangent/normal Start Learning
Finding point when tangent is parallel/ perpendicular Start Learning
Finding equation of tangent/normal when point and curve is given Start Learning
Finding equation of tangent/normal when slope and curve are given Start Learning
Finding approximate value of numbers Start Learning
Finding approximate value of function Start Learning
Finding approximate value- Statement questions Start Learning
Finding minimum and maximum values from graph Start Learning
Local maxima and minima Start Learning
Minima/ maxima (statement questions) - Number questions Start Learning
Minima/ maxima (statement questions) - Geometry questions Start Learning
Absolute minima/maxima Start Learning

Why Learn This With Teachoo?

Learn Chapter 6 Application of Derivatives (AOD) of Class 12 free with solutions of all NCERT Questions for Maths Boards

 

We learned Derivatives in the last chapter, in Chapter 5 Class 12. In this Chapter we will learn the applications of those derivatives.

 

The topics in the chapter include

  • Finding rate of change
  • Checking if a function is increasing or decreasing in an interval
  • Checking if a function is increasing or decreasing in whole domain
  • Finding if function is strictly increasing or decreasing in an interval
  • Finding equation (and slope) of tangent and normal using derivatives
  • Finding approximate value of numbers and functions
  • Finding minimum and maximum values from graph of a function
  • Definition of - Maxima, Minima, Absolute Maxima, Absolute Minima, Point of Inflexion
  • Finding local maxima, local minima using first derivative test
  • Finding local maxima, local minima using second derivative test
  • Finding maximum and minimum values in closed interval (Finding Absolute Maxima and Absolute Minima)
  • Statement questions of maxima and minima where we form equations and solve