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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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 = ๐ฅ๐จ๐ โกใ€–(๐ฅ๐จ๐ โกใ€–๐’™)ใ€— ใ€—/๐ฅ๐จ๐ โก๐Ÿ• Now, differentiating ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ= ๐‘‘(((logโกใ€–(logโกใ€–7)ใ€— ใ€—)/(log 7))/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ= ๐Ÿ/๐ฅ๐จ๐ โก๐Ÿ• (๐‘‘(logโกใ€–(logโก๐‘ฅ ใ€— )) )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ= 1/logโก7 . 1/logโก๐‘ฅ (๐‘‘(logโก๐‘ฅ))/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ= 1/logโก7 . 1/logโก๐‘ฅ . 1/๐‘ฅ ๐’…๐’š/๐’…๐’™= ๐Ÿ/ใ€–๐ฑ ๐’๐’๐’ˆใ€—โกใ€–๐Ÿ• ๐ฅ๐จ๐ โก๐’™ ใ€— (As log 7 is constant) ("As (log x)โ€ฒ =" 1/๐‘ฅ) ("As (log x)โ€ฒ =" 1/๐‘ฅ)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.