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Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives
Last updated at August 24, 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
Transcript
Ex 6.2, 4 Find the intervals in which the function f given by f (๐ฅ) = 2๐ฅ2 โ 3๐ฅ is (a) strictly increasing (b) strictly decreasing f (๐ฅ) = 2๐ฅ2 โ3๐ฅ Calculating fโ(๐) ๐^โฒ (๐ฅ) = 4๐ฅ โ 3 Putting fโ (๐) = 0 4๐ฅ โ 3 = 0 4๐ฅ = 3 ๐ฅ = 3/4 Plotting point on number line Hence, f is strictly increasing in (๐/๐ , โ) f is strictly decreasing in (โโ ,๐/๐)
