y=3x/x^2-4

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Solution for y=3x/x^2-4 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 = (3*x)/(x^2)-4 // - (3*x)/(x^2)-4

y-((3*x)/(x^2))+4 = 0

y-3*x^-1+4 = 0

-3*x^-1 = -(y+4) // : -3

x^-1 = (y+4)/3

-1 < 0

1/(x^1) = (y+4)/3 // * x^1

1 = x^1*((y+4)/3) // : (y+4)/3

3*(y+4)^-1 = x^1

x = 3*(y+4)^-1

x = 3*(y+4)^-1

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