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D( x )
x < 0
x^2 = 0
x < 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (0:+oo)
(3/2)*x^(1/2)-(48/(x^2)) = 0
(3/2)*x^(1/2)-48*x^-2 = 0
3/2*x^(1/2)-48*x^-2 = 0
t_1 = x^(1/2)
3/2*t_1^1-48*t_1^-4 = 0
3/2*t_1-48*t_1^-4 = 0
3*t_1*(1/2-16*t_1^-5) = 0
-16*t_1^-5 = -1/2 // : -16
t_1^-5 = 1/32
-5 < 0
1/(t_1^5) = 1/32 // * t_1^5
1 = 1/32*t_1^5 // : 1/32
32 = t_1^5
t_1^5 = 32 // ^ 1/5
t_1 = 2
3*t_1 = 0
3*t_1 = 0 // : 3
t_1 = 0
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
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 = 4
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