Example 39 (ii) - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 39 Differentiate w.r.t. x, the following function: (ii) log7 (log x) y = log7 (log x) But we do not solve base 7. So, changing base y = log7 ( log x) y = ๐ฅ๐จ๐ โกใ(๐ฅ๐จ๐ โกใ๐)ใ ใ/๐ฅ๐จ๐ โก๐ Now, differentiating ๐๐ฆ/๐๐ฅ= ๐(((logโกใ(logโกใ7)ใ ใ)/(log 7))/๐๐ฅ ๐๐ฆ/๐๐ฅ= ๐/๐ฅ๐จ๐ โก๐ (๐(logโกใ(logโก๐ฅ ใ )) )/๐๐ฅ ๐๐ฆ/๐๐ฅ= 1/logโก7 . 1/logโก๐ฅ (๐(logโก๐ฅ))/๐๐ฅ ๐๐ฆ/๐๐ฅ= 1/logโก7 . 1/logโก๐ฅ . 1/๐ฅ ๐ ๐/๐ ๐= ๐/ใ๐ฑ ๐๐๐ใโกใ๐ ๐ฅ๐จ๐ โก๐ ใ (As log 7 is constant) ("As (log x)โฒ =" 1/๐ฅ) ("As (log x)โฒ =" 1/๐ฅ)
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo