ysqrtxex2xx123Solutionlny 5lnx x2xlne 23lnx1 lny 5lnx x2x

y=sqrt(x)e^(x^2-x)(x+1)^2/3

ln(y)= .5ln(x) +(x^2-x)*lne + (2/3)ln(x+1)

ln(y) = .5ln(x) +(x^2-x)+ (2/3)ln(x+1) (lne =1),

on diffrentiating

y\'/y = .5/x + 2x-1 + (2/3)/(x+1) ,

y\' = (.5/x + 2x-1 + (2/3)/(x+1) ) * [sqrt(x)e^(x^2-x)(x+1)^2/3]

$y=sqrt(x)e^(x^2-x)(x+1)^2/3Solutionln(y)= .5ln(x) +(x^2-x)*lne + (2/3)ln(x+1) ln(y) = .5ln(x) +(x^2-x)+ (2/3)ln(x+1) (lne =1), on diffrentiating y\'/y = .5/x +$

ysqrtxex2xx123Solutionlny 5lnx x2xlne 23lnx1 lny 5lnx x2x

Solution

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