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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(7/2)*x-30 = 2/x // - 2/x
(7/2)*x-(2/x)-30 = 0
(7/2)*x-2*x^-1-30 = 0
7/2*x^1-2*x^-1-30*x^0 = 0
(7/2*x^2-30*x^1-2*x^0)/(x^1) = 0 // * x^2
x^1*(7/2*x^2-30*x^1-2*x^0) = 0
x^1
(7/2)*x^2-30*x-2 = 0
(7/2)*x^2-30*x-2 = 0
DELTA = (-30)^2-(-2*4*(7/2))
DELTA = 928
DELTA > 0
x = (928^(1/2)+30)/(2*(7/2)) or x = (30-928^(1/2))/(2*(7/2))
x = (4*58^(1/2)+30)/7 or x = (30-4*58^(1/2))/7
x in { (30-4*58^(1/2))/7, (4*58^(1/2)+30)/7}
x in { (30-4*58^(1/2))/7, (4*58^(1/2)+30)/7 }
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