Class 12th : Calculus

If y = sqrt(x-1)+sqrt(x+1),prove that sqrt(x^2-1)dy/dx=1y/2

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  1. take the derivative

    dy/dx= -1/sqrt(x-1) - 1/sqrt(x+1)

    = -1( sqrt(x+1) +sqrt(x-1) )/ ( zzzz)

    where zzzz= x+1-x+1 (Prove that)which is 2
    dy/dx= -y/2

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