Check Full Chapter Explained - Continuity and Differentiability - https://you.tube/Chapter-5-Class-12-Continuity

Last updated at May 29, 2018 by Teachoo

Check Full Chapter Explained - Continuity and Differentiability - https://you.tube/Chapter-5-Class-12-Continuity

Transcript

Ex 5.5, 13 Find 𝑑𝑦𝑑𝑥 of the functions in, 𝑦𝑥 = 𝑥𝑦 Given , 𝑦𝑥 = 𝑥𝑦 Taking log both sides log 𝑦𝑥 = log 𝑥𝑦 𝑥 . log 𝑦=𝑦. log𝑥 Differentiating both sides 𝑤.𝑟.𝑡.𝑥. 𝑑(𝑥 . log 𝑦)𝑑𝑥 = 𝑑 𝑦. log𝑥𝑑𝑥 𝑑 𝑥𝑑𝑥 . log 𝑦+ 𝑑 log𝑦𝑑𝑥 . 𝑥 = 𝑑 𝑦𝑑𝑥 . log 𝑥 + 𝑑 log𝑥𝑑𝑥 . 𝑦 log 𝑦+𝑥 . 𝑑 log𝑦𝑑𝑥 . 𝑥 = 𝑑𝑦𝑑𝑥 log 𝑥 + 1𝑥 . 𝑦 log 𝑦+𝑥 . 𝑑 log𝑦𝑑𝑥 . 𝑑𝑦𝑑𝑦 = 𝑑𝑦𝑑𝑥 . log 𝑥 + 𝑦𝑥 log 𝑦+𝑥 . 𝑑 log𝑦𝑑𝑦 . 𝑑𝑦𝑑𝑥 = 𝑑𝑦𝑑𝑥 . log 𝑥 + 𝑦𝑥 log 𝑦+𝑥 . 1𝑦 . 𝑑𝑦𝑑𝑥 = 𝑑𝑦𝑑𝑥 . log 𝑥 + 𝑦𝑥 log 𝑦+ 𝑥𝑦 . 𝑑𝑦𝑑𝑥 = 𝑑𝑦𝑑𝑥 . log 𝑥 + 𝑦𝑥 𝑥𝑦 . 𝑑𝑦𝑑𝑥 − 𝑑𝑦𝑑𝑥 . log 𝑥 = 𝑦𝑥 − log 𝑦 𝑑𝑦𝑑𝑥 𝑥𝑦 − log 𝑥 = 𝑦𝑥 − log 𝑦 𝑑𝑦𝑑𝑥 𝑥 − 𝑦 log𝑥𝑦 = 𝑦 − 𝑥 log𝑦𝑥 𝑑𝑦𝑑𝑥 = 𝑦 − 𝑥 log𝑦𝑥 . 𝑦𝑥 − 𝑦 log𝑥 𝒅𝒚𝒅𝒙 = 𝒚 𝒚 − 𝒙 𝒍𝒐𝒈𝒚𝒙 𝒙 − 𝒚 𝒍𝒐𝒈𝒙

Ex 5.5

Ex 5.5, 1
Important

Ex 5.5, 2

Ex 5.5, 3 Important

Ex 5.5, 4

Ex 5.5, 5

Ex 5.5,6 Important

Ex 5.5, 7 Important

Ex 5.5, 8

Ex 5.5, 9 Important

Ex 5.5, 10 Important

Ex 5.5, 11 Important

Ex 5.5, 12

Ex 5.5, 13 You are here

Ex 5.5, 14 Important

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Ex 5.5, 16 Important

Ex 5.5, 17 Important

Ex 5.5, 18

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.