Ex 5.5, 10 - Differentiate x x cosx + x2+1/x2-1 - CBSE - Logarithmic Differentiation - Type 2

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

Transcript

Ex 5.5, 10 Differentiate the functions in, + 2+ 1 2 1 Calculating = Taking log both sides log = log log = . log Differentiating both sides . . . . ( log ) = . log ( log ) . = . log ( log ) . = . log 1 . = . log 1 . = . cos log + cos . log + ( log ) . 1 . = 1. cos . log + sin . log + 1 . 1 . = cos . log sin . log + 1 . = cos . log + cos . sin + log = u cos log +1 sin log = cos log +1 sin log Calculating = 2 + 1 2 1 Differentiating both sides . . . . = 2 + 1 2 1 . = 2 + 1 2 1 . = 2 + 1 2 1 1. = 2 + 1 2 1 = 2 + 1 2 1 = 2+ 1 . 2 1 2 1 . 2+ 1 2 1 2 = 2+ 1 + 1 2 1 2+ 1 + 1 2+ 1 2 1 2 = 2 + 0 2 1 2 0 2 + 1 2 1 2 = 2 2 1 2 2 + 1 2 1 2 = 2 2 1 2 1 2 1 2 = 2 2 2 1 2 = 4 2 1 2 Now = + Putting value of & = +

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