Y=8/x2

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Solution for Y=8/x2 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 = 8/(x^2) // - 8/(x^2)

Y-(8/(x^2)) = 0

Y-8*x^-2 = 0

-8*x^-2 = -Y // : -8

x^-2 = Y/8

-2 < 0

1/(x^2) = Y/8 // * x^2

1 = (Y/8)*x^2 // : Y/8

8*Y^-1 = x^2

x^2 = 8*Y^-1 // ^ 1/2

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

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

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

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