Ex 5.7, 5 - Find second order derivatives of x3 logx - Finding second order derivatives - Normal form

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

Transcript

Ex 5.7, 5 Find the second order derivatives of the function 3 log Let y = 3 log Differentiating . . . . = ( 3 log ) = 3 . log + ( log ) . 3 = 3 2 . log + 1 . 3 = 3 2 . log + 2 Again Differentiating . . . = (3 2 . log + 2 ) 2 2 = (3 2 . log ) + ( 2 ) 2 2 = 3 ( 2 . log ) + 2 2 2 = 3 . 2 . log + ( log ) . 2 + 2 = 3 2 . log + 1 . 2 + 2 = 3 2 . log + + 2 = 6 log + 3 + 2 = 6 log +5 = x 6 log +5 = 5+6 log Hence , = +

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