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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x-(2000/(x^2)) = 0
4*x-2000*x^-2 = 0
4*x-2000*x^-2 = 0
4*x*(1-500*x^-3) = 0
-500*x^-3 = -1 // : -500
x^-3 = 1/500
-3 < 0
1/(x^3) = 1/500 // * x^3
1 = 1/500*x^3 // : 1/500
500 = x^3
x^3 = 500 // ^ 1/3
x = 5*4^(1/3)
4*x = 0
4*x = 0 // : 4
x = 0
x in { 0}
x = 5*4^(1/3)
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