Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12
Ex 6.2,10 - Chapter 6 Class 12 Application of Derivatives
Last updated at April 14, 2021 by Teachoo
Transcript
Ex 6.2, 10 Prove that the logarithmic function is strictly increasing on (0, โ).f(๐ฅ) = log (๐ฅ) We need to prove f(๐ฅ) in increasing on ๐ฅ โ (0 , โ) i.e. we need to show fโ(๐) > 0 for x โ (๐ , โ) Now, f(๐ฅ) = log ๐ฅ fโ(๐ฅ) = 1/๐ฅ When ๐ > 0 (1 )/๐ฅ > 0 fโ(๐ฅ) > 0 โด f(๐ฅ) is an increasing function for ๐ฅ > 0 Hence, f(๐ฅ) is an increasing function for (0, โ). Hence proved
Chapter 6 Class 12 Application of Derivatives
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