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Chapter 6 Class 12 Application of Derivatives

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

Concept wise

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

What's in it?

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