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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5*x^(2/3))/3-((40*x^(-1/3))/3) = 0
(5*x^(2/3))/3+(-40/3)*x^(-1/3) = 0
5/3*x^(2/3)-40/3*x^(-1/3) = 0
t_1 = x^(1/3)
5/3*t_1^2-40/3*t_1^-1 = 0
(5/3*t_1^3-40/3*t_1^0)/(t_1^1) = 0 // * t_1^2
t_1^1*(5/3*t_1^3-40/3*t_1^0) = 0
t_1^1
(5/3)*t_1^3-40/3 = 0
(5/3)*t_1^3-40/3 = 0 // * 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 20, -20, 40, -40 }
1
t_1 = 1
5*t_1^3-40 = -35
1
-1
t_1 = -1
5*t_1^3-40 = -45
-1
2
t_1 = 2
5*t_1^3-40 = 0
2
t_1-2
5*t_1^2+10*t_1+20
5*t_1^3-40
t_1-2
10*t_1^2-5*t_1^3
10*t_1^2-40
20*t_1-10*t_1^2
20*t_1-40
40-20*t_1
0
5*t_1^2+10*t_1+20 = 0
DELTA = 10^2-(4*5*20)
DELTA = -300
DELTA < 0
t_1 in { 2}
t_1 = 2
x^(1/3)-2 = 0
1*x^(1/3) = 2 // : 1
x^(1/3) = 2
x^(1/3) = 2 // ^ 3
x = 8
x = 8
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