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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
((1/2)*x^-1)/2-(((9/2)*x^-3)/2) = 0
((1/2)*x^-1)/2+(-9/4)*x^-3 = 0
1/4*x^-1-9/4*x^-3 = 0
t_1 = x^-1
1/4*t_1^1-9/4*t_1^3 = 0
1/4*t_1-9/4*t_1^3 = 0
1/4*t_1*(1-9*t_1^2) = 0
-9*t_1^2 = -1 // : -9
t_1^2 = 1/9
t_1^2 = 1/9 // ^ 1/2
abs(t_1) = 1/3
t_1 = 1/3 or t_1 = -1/3
t_1/4 = 0
1/4*t_1 = 0 // : 1/4
t_1 = 0
t_1 = 1/3
x^-1-1/3 = 0
1*x^-1 = 1/3 // : 1
x^-1 = 1/3
-1 < 0
1/(x^1) = 1/3 // * x^1
1 = 1/3*x^1 // : 1/3
3 = x^1
x = 3
t_1 = -1/3
x^-1+1/3 = 0
1*x^-1 = -1/3 // : 1
x^-1 = -1/3
-1 < 0
1/(x^1) = -1/3 // * x^1
1 = -1/3*x^1 // : -1/3
-3 = x^1
x = -3
t_1 = 0
x^-1+0 = 0
x^-1 = 0
1*x^-1 = 0 // : 1
x^-1 = 0
x naleu017Cy do O
x in { 3, -3 }
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