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D( x )
x < 0
x = 0
x < 0
x = 0
x = 0
x in (0:+oo)
8*x-(64*x^(-1/2)) = 0
8*x-64*x^(-1/2) = 0
t_1 = x^(1/2)
8*t_1^2-64*t_1^-1 = 0
(8*t_1^3-64*t_1^0)/(t_1^1) = 0 // * t_1^2
t_1^1*(8*t_1^3-64*t_1^0) = 0
t_1^1
8*t_1^3-64 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64 }
1
t_1 = 1
8*t_1^3-64 = -56
1
-1
t_1 = -1
8*t_1^3-64 = -72
-1
2
t_1 = 2
8*t_1^3-64 = 0
2
t_1-2
8*t_1^2+16*t_1+32
8*t_1^3-64
t_1-2
16*t_1^2-8*t_1^3
16*t_1^2-64
32*t_1-16*t_1^2
32*t_1-64
64-32*t_1
0
8*t_1^2+16*t_1+32 = 0
DELTA = 16^2-(4*8*32)
DELTA = -768
DELTA < 0
t_1 in { 2}
t_1 = 2
x^(1/2)-2 = 0
1*x^(1/2) = 2 // : 1
x^(1/2) = 2
x^(1/2) = 2 // ^ 2
x = 4
x = 4
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