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Example 10 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 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
Example 10 Find the intervals in which the function f given by f (x) = x2 â 4x + 6 is (a) strictly increasing (b) strictly decreasingf (đĽ) = đĽ2 â 4đĽ + 6 Calculate fâ(đ) đâ (đĽ) = 2đĽ â 4 Calculate fâ(đ) = 0 2đĽ â 4 = 0 2đĽ = 4 đĽ = 4/2=2 Hence đĽ = 2 divide real line into 2 disjoint intervals. Plotting points on number line
