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