y=12e^1/x^2

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Solution for y=12e^1/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 = (12*e^1)/(x^2) // - (12*e^1)/(x^2)

y-((12*e^1)/(x^2)) = 0

y-12*e*x^-2 = 0

-12*e*x^-2 = -y // : -12*e

x^-2 = (1/12)*e^-1*y

-2 < 0

1/(x^2) = (1/12)*e^-1*y // * x^2

1 = (1/12)*e^-1*x^2*y // : (1/12)*e^-1*y

12*e*y^-1 = x^2

x^2 = 12*e*y^-1 // ^ 1/2

abs(x) = 2*3^(1/2)*e^(1/2)*y^(-1/2)

x = 2*3^(1/2)*e^(1/2)*y^(-1/2) or x = -(2*3^(1/2)*e^(1/2)*y^(-1/2))

x in { 2*3^(1/2)*e^(1/2)*y^(-1/2), -(2*3^(1/2)*e^(1/2)*y^(-1/2)) }

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