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D( x )
0.1*x-(10*x^2) = 0
0.1*x-(10*x^2) = 0
0.1*x-(10*x^2) = 0
0.1*x-10*x^2 = 0
0.1*x-10*x^2 = 0
DELTA = 0.1^2-(-10*0*4)
DELTA = 0.1^2
DELTA = 0.01
DELTA > 0
x = ((0.1^2)^(1/2)-0.1)/(-10*2) or x = (-(0.1^2)^(1/2)-0.1)/(-10*2)
x = 0 or x = 0.01
x in (-oo:0) U (0:0.01) U (0.01:+oo)
0.01/(0.1*x-(10*x^2)) = 0
0.01/(0.1*x-10*x^2) = 0
0.1*x-10*x^2 = 0
x*(0.1-10*x) = 0
0.1-10*x = 0 // - 0.1
-10*x = -0.1 // : -10
x = -0.1/(-10)
x = 0.01
x*(x-0.01) = 0
0.01/(x*(x-0.01)) = 0
x belongs to the empty set
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