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