If y=log(root x+1/root x)^2 then prove that x(x+1)^2 d2y/dx2 + (x+1)^2 dy/dx = 2 / Differentiation

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Class 12- Differentiation-if y=log(root x +1/ root x), prove that dy/dx= x-1/2x(x+1) Class 12- Differentiation-if y=log(root x +1/ root x), prove that dy/dx= x-1/2x(x+1)
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If `y={\"log\"(x+sqrt(x^2+1))}^2,\"s h o wt h a t\"(1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)=2.` If `y={\"log\"(x+sqrt(x^2+1))}^2,\"s h o wt h a t\"(1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)=2.`
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