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D( x )
x < 0
-12*x^2 = 0
x < 0
-12*x^2 = 0
-12*x^2 = 0
-12*x^2 = 0 // : -12
x^2 = 0
x = 0
x in (0:+oo)
1.5*x^0.5+1/(-12*x^2) = 0
1.5*x^0.5-1/12*x^-2 = 0
x^0.5*(1.5-1/12*x^-2.5) = 0
-1/12*x^-2.5 = -1.5 // : -1/12
x^-2.5 = 18.00000072
-2.5 < 0
1/(x^2.5) = 18.00000072 // * x^2.5
1 = 18.00000072*x^2.5 // : 18.00000072
0.05555555 = x^2.5
x^2 = 0.05555555^(1/0.5) // ^ 1/2
abs(x) = 0.05555555
x = 0.05555555 or x = -0.05555555
x^0.5 = 0
1*x^0.5 = 0 // : 1
x^0.5 = 0
x = 0
x in { -0.05555555}
x in { 0}
x = 0.05555555
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