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Ex 6.2,11 - Chapter 6 Class 12 Application of Derivatives
Last updated at July 21, 2026 by Teachoo
Chapter 6 Class 12 Application of Derivatives
Concept wise
- Finding rate of change
- To show increasing/decreasing in whole domain
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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
- Absolute minima/maxima
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Transcript
Ex 6.2, 11 Prove that the function f given by f (š„) = š„^2 ā š„ + 1 is neither strictly increasing nor strictly decreasing on (ā 1, 1).Given f(š„) = š„2 ā š„ + 1 Finding fā(š) fā(š„) = 2š„ ā 1 Putting fā(š) = 0 2š„ ā 1 = 0 2š„ = 1 š„ = 1/2 Since š ā (āš , š) So, our number line looks like Hence, f(x) is strictly decreasing for š„ ā (ā1 , 1/2) & f(x) is strictly increasing for š„ ā (1/2, 1) Hence, f(š„) is neither decreasing nor increasing on (āš , š). Hence Proved
