Ex 5.5, 7 - Differentiate (log x)x + x log x - Chapter 5 - Ex 5.5

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

Transcript

Ex 5.5, 7 (Method 1) Differentiate the functions in, (log ) ^ + ^log Let = (log ) ^ + ^log Let = (log ) ^ , = ^log = + Differentiating both sides . . . . / = ( ( + ))/ / = / + / 1/ ( / )" =" 1 . log (log" " ) + (1/(log" " ) . (log" " )/ ) 1/ ( / )" =" log (log" " ) + (1/(log" " ) . 1/ ) 1/ ( / )" =" log (log" " ) + 1/log / 1/ ( / )" =" log (log" " ) + 1/log / " =" (log (log" " )" + " 1/log ) / = (log )^ (log (log" " )" + " 1/log ) / = (log )^ ((log . log (log ) + 1)/log ) / = (log )^ /log (log . log (log )+ 1)

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