y=2/x^2

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Solution for y=2/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

y = 2/(x^2) // - 2/(x^2)

y-(2/(x^2)) = 0

y-2*x^-2 = 0

-2*x^-2 = -y // : -2

x^-2 = y/2

-2 < 0

1/(x^2) = y/2 // * x^2

1 = x^2*(y/2) // : y/2

2*y^-1 = x^2

x^2 = 2*y^-1 // ^ 1/2

abs(x) = 2^(1/2)*y^(-1/2)

x = 2^(1/2)*y^(-1/2) or x = -(2^(1/2)*y^(-1/2))

x in { 2^(1/2)*y^(-1/2), -(2^(1/2)*y^(-1/2)) }

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