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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(4/9)*x+36 = 6/x-(5/9)+4 // - 6/x-(5/9)+4
(4/9)*x-(6/x)+5/9-4+36 = 0
(4/9)*x-6*x^-1+5/9-4+36 = 0
4/9*x^1-6*x^-1+293/9*x^0 = 0
(4/9*x^2+293/9*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(4/9*x^2+293/9*x^1-6*x^0) = 0
x^1
(4/9)*x^2+(293/9)*x-6 = 0
(4/9)*x^2+(293/9)*x-6 = 0
DELTA = (293/9)^2-(-6*4*(4/9))
DELTA = 86713/81
DELTA > 0
x = ((86713/81)^(1/2)-(293/9))/(2*(4/9)) or x = (-(293/9)-(86713/81)^(1/2))/(2*(4/9))
x = 9/8*((86713/81)^(1/2)-293/9) or x = -9/8*((86713/81)^(1/2)+293/9)
x in { -9/8*((86713/81)^(1/2)+293/9), 9/8*((86713/81)^(1/2)-293/9)}
x in { -9/8*((86713/81)^(1/2)+293/9), 9/8*((86713/81)^(1/2)-293/9) }
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