y=x/x^2+9

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Solution for y=x/x^2+9 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 = x/(x^2)+9 // - x/(x^2)+9

y-(x/(x^2))-9 = 0

y-x^-1-9 = 0

-1*x^-1 = -(y-9) // : -1

x^-1 = y-9

-1 < 0

1/(x^1) = y-9 // * x^1

1 = x^1*(y-9) // : y-9

1/(y-9) = x^1

x = 1/(y-9)

x = 1/(y-9)

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