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D( x )
x < 0
x = 0
x < 0
x = 0
x = 0
x in (0:+oo)
4*x-(32*x^(-1/2)) = 0
4*x-32*x^(-1/2) = 0
t_1 = x^(1/2)
4*t_1^2-32*t_1^-1 = 0
(4*t_1^3-32*t_1^0)/(t_1^1) = 0 // * t_1^2
t_1^1*(4*t_1^3-32*t_1^0) = 0
t_1^1
4*t_1^3-32 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
t_1 = 1
4*t_1^3-32 = -28
1
-1
t_1 = -1
4*t_1^3-32 = -36
-1
2
t_1 = 2
4*t_1^3-32 = 0
2
t_1-2
4*t_1^2+8*t_1+16
4*t_1^3-32
t_1-2
8*t_1^2-4*t_1^3
8*t_1^2-32
16*t_1-8*t_1^2
16*t_1-32
32-16*t_1
0
4*t_1^2+8*t_1+16 = 0
DELTA = 8^2-(4*4*16)
DELTA = -192
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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