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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
30*x-10 = 40/x // - 40/x
30*x-(40/x)-10 = 0
30*x-40*x^-1-10 = 0
30*x^1-40*x^-1-10*x^0 = 0
(30*x^2-10*x^1-40*x^0)/(x^1) = 0 // * x^2
x^1*(30*x^2-10*x^1-40*x^0) = 0
x^1
30*x^2-10*x-40 = 0
30*x^2-10*x-40 = 0
DELTA = (-10)^2-(-40*4*30)
DELTA = 4900
DELTA > 0
x = (4900^(1/2)+10)/(2*30) or x = (10-4900^(1/2))/(2*30)
x = 4/3 or x = -1
x in { -1, 4/3}
x in { -1, 4/3 }
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