Chapter 6 Class 12 Application of Derivatives

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