Misc 10 - Differentiate xx + xa + ax + aa - Class 12 NCERT - Logarithmic Differentiation - Type 2

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Misc 10 Differentiate w.r.t. x the function, + + + , for some fixed >0 and > 0 Let = + + + Let u= , = , = = + + + Differentiating both sides . . . . = + + + = + + + = + + + 0 = + + Calculating = Taking log on both sides log = log log = . log Differentiating both sides . . . . log = . log log . = . log log . = . log + log . 1 . = log + 1 . 1 . = log + 1 = u 1+ log = 1+ log Calculating = Differentiating both sides . . . . = = 1 Calculating = Differentiating both sides . . . . = = . log Therefore = + + = + + + .

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.