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D( x )
x < 0
x = 0
x < 0
x = 0
x = 0
x in (0:+oo)
2*x-(16*x^(-1/2)) = 0
2*x-16*x^(-1/2) = 0
t_1 = x^(1/2)
2*t_1^2-16*t_1^-1 = 0
(2*t_1^3-16*t_1^0)/(t_1^1) = 0 // * t_1^2
t_1^1*(2*t_1^3-16*t_1^0) = 0
t_1^1
2*t_1^3-16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
t_1 = 1
2*t_1^3-16 = -14
1
-1
t_1 = -1
2*t_1^3-16 = -18
-1
2
t_1 = 2
2*t_1^3-16 = 0
2
t_1-2
2*t_1^2+4*t_1+8
2*t_1^3-16
t_1-2
4*t_1^2-2*t_1^3
4*t_1^2-16
8*t_1-4*t_1^2
8*t_1-16
16-8*t_1
0
2*t_1^2+4*t_1+8 = 0
DELTA = 4^2-(2*4*8)
DELTA = -48
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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