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Ex 6.2,10 - Chapter 6 Class 12 Application of Derivatives
Last updated at August 2, 2026 by Teachoo
To show increasing/decreasing in whole domain
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
- Absolute minima/maxima
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Transcript
Ex 6.2, 10 Prove that the logarithmic function is strictly increasing on (0, ā).f(š„) = log (š„) We need to prove f(š„) in increasing on š„ ā (0 , ā) i.e. we need to show fā(š) > 0 for x ā (š , ā) Now, f(š„) = log š„ fā(š„) = 1/š„ When š > 0 (1 )/š„ > 0 fā(š„) > 0 ā“ f(š„) is an increasing function for š„ > 0 Hence, f(š„) is an increasing function for (0, ā). Hence proved
