y=10/x^2

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Solution for y=10/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 = 10/(x^2) // - 10/(x^2)

y-(10/(x^2)) = 0

y-10*x^-2 = 0

-10*x^-2 = -y // : -10

x^-2 = y/10

-2 < 0

1/(x^2) = y/10 // * x^2

1 = x^2*(y/10) // : y/10

10*y^-1 = x^2

x^2 = 10*y^-1 // ^ 1/2

abs(x) = 10^(1/2)*y^(-1/2)

x = 10^(1/2)*y^(-1/2) or x = -(10^(1/2)*y^(-1/2))

x in { 10^(1/2)*y^(-1/2), -(10^(1/2)*y^(-1/2)) }

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