Ex 6.2, 12 (A) - Chapter 6 Class 12 Application of Derivatives
Last updated at April 16, 2024 by Teachoo
Chapter 6 Class 12 Application of Derivatives
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
Transcript
Ex 6.2, 12 Which of the following functions are strictly decreasing on (0 ,π/2)? (A) cos π₯f(π₯) = cos π₯ fβ(π) = β sin π Since, sin π₯ > 0 for π₯ β (0 , π/2) So, βsin π < 0 for π₯ β (0 , π/2) β΄ fβ(π₯) < 0 for π₯ β (0 , π/2) So, f is strictly decreasing in (0 , π/2)
