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D( x )
x = 0
9*x-((9/3)*x^2) = 0
x = 0
x = 0
9*x-((9/3)*x^2) = 0
9*x-((9/3)*x^2) = 0
9*x-3*x^2 = 0
9*x-3*x^2 = 0
DELTA = 9^2-(-3*0*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-9)/(-3*2) or x = (-81^(1/2)-9)/(-3*2)
x = 0 or x = 3
x in (-oo:0) U (0:3) U (3:+oo)
(6*x-(6/x))/(9*x-((9/3)*x^2)) = 0
(6*x-6*x^-1)/(9*x-3*x^2) = 0
6*x-6*x^-1 = 0
6*x^-1*(x^2-1) = 0
1*x^2 = 1 // : 1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
6*x^-1*(x-1)*(x+1) = 0
9*x-3*x^2 = 0
3*x*(3-x) = 0
3-x = 0 // - 3
-x = -3 // * -1
x = 3
3*x*(x-3) = 0
(6*x^-1*(x-1)*(x+1))/(3*x*(x-3)) = 0
( 6*x^-1 )
6*x^-1 = 0 // : 6
x^-1 = 0
x należy do O
( x+1 )
x+1 = 0 // - 1
x = -1
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -1, 1 }
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