Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12


Last updated at May 29, 2018 by Teachoo
Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12
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, 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
Ex 5.5, 15
Ex 5.5, 16 Important
Ex 5.5, 17 Important
Ex 5.5, 18
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