(2+(18/y))/(1-(81/y^2))

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Solution for (2+(18/y))/(1-(81/y^2)) equation: 


D( y )

y = 0

y^2 = 0

1-(81/(y^2)) = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

1-(81/(y^2)) = 0

1-(81/(y^2)) = 0

1-81*y^-2 = 0

-81*y^-2 = -1 // : -81

y^-2 = 1/81

-2 < 0

1/(y^2) = 1/81 // * y^2

1 = 1/81*y^2 // : 1/81

81 = y^2

y^2 = 81 // ^ 1/2

abs(y) = 9

y = 9 or y = -9

y in (-oo:-9) U (-9:0) U (0:9) U (9:+oo)

(18/y+2)/(1-(81/(y^2))) = 0

(18/y+2)/(1-81*y^-2) = 0

(18*y^-1+2)/(1-81*y^-2) = 0

18*y^-1 = -2 // : 18

y^-1 = -1/9

-1 < 0

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

1 = -1/9*y^1 // : -1/9

-9 = y^1

y = -9

y in { -9} 

y belongs to the empty set

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