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Ex 6.3, 5 (i) - Chapter 6 Class 12 Application of Derivatives
Last updated at August 25, 2026 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
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Absolute minima/maxima
Transcript
Ex 6.3, 5 Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: (i) f (๐ฅ) = ๐ฅ3, ๐ฅโ[โ 2, 2]Finding fโ(๐) fโ(๐ฅ)=๐(๐ฅ^3 )/๐๐ฅ fโ(๐ฅ)=3๐ฅ^2 Putting fโ(๐)=๐ 3๐ฅ^2=0 ๐ฅ^2=0 ๐ฅ=0 So, ๐ฅ=0 is critical point Since given interval is ๐ฅ โ [โ2 , 2] Hence calculating f(๐ฅ) at ๐ฅ=โ2 , 0 , 2 Absolute Maximum value of f(x) is 8 at ๐ = 2 & Absolute Minimum value of f(x) is โ8 at ๐ = โ2
