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Ex 6.2, 6 (a) - Chapter 6 Class 12 Application of Derivatives
Last updated at August 2, 2026 by Teachoo
Find intervals of increasing/decreasing
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
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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
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Transcript
Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (a) š„2 + 2š„ ā 5 f(š„) = š„2 + 2š„ ā 5 Calculating fā (š) fā(š„) = 2š„ + 2 fā(š„) = 2 (š„ + 1) Putting fā (š) = 0 2 (š„ + 1) = 0 (š„ + 1) = 0 š = ā1 Plotting point on real line Hence, f is strictly decreasing for (āā ," ā1" ) f is strictly increasing for ( "ā1" ,ā)
