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Example 16 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Finding minimum and maximum values from graph
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
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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 16 Find the maximum and the minimum values, if any, of the function given by f (x) = x, x ∈ (0, 1).We first draw graph of f`(𝑥)=𝑥, 𝑥 ∈ (0,1) Here, points 0 and 1 are not included Thus, f will have Minimum value of point closest to 0 & Maximum value of point closest to 1 but its not possible to locate such points Thus, the given function has neither Maximum value nor Minimum value
