Ex 6.2,10 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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
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