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Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives (Term 1)
Last updated at Aug. 19, 2021 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, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (a) π₯2 + 2π₯ β 5 f(π₯) = π₯2 + 2π₯ β 5 Calculating fβ (π) fβ(π₯) = 2π₯ + 2 fβ(π₯) = 2 (π₯ + 1) Putting fβ (π) = 0 2 (π₯ + 1) = 0 (π₯ + 1) = 0 π = β1 Plotting point on real line Hence, f is strictly decreasing for (ββ ," β1" ) f is strictly increasing for ( "β1" ,β)
