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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(7/2)*x-(5/4) = 1/x // - 1/x
(7/2)*x-(1/x)-(5/4) = 0
(7/2)*x-x^-1-5/4 = 0
7/2*x^1-1*x^-1-5/4*x^0 = 0
(7/2*x^2-5/4*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(7/2*x^2-5/4*x^1-1*x^0) = 0
x^1
(7/2)*x^2+(-5/4)*x-1 = 0
(7/2)*x^2+(-5/4)*x-1 = 0
DELTA = (-5/4)^2-(-1*4*(7/2))
DELTA = 249/16
DELTA > 0
x = ((249/16)^(1/2)-(-5/4))/(2*(7/2)) or x = (-(-5/4)-(249/16)^(1/2))/(2*(7/2))
x = ((249/16)^(1/2)+5/4)/7 or x = (5/4-(249/16)^(1/2))/7
x in { (5/4-(249/16)^(1/2))/7, ((249/16)^(1/2)+5/4)/7}
x in { (5/4-(249/16)^(1/2))/7, ((249/16)^(1/2)+5/4)/7 }
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