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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
28*x-33 < 28/x // - 28/x
28*x-(28/x)-33 < 0
28*x-28*x^-1-33 < 0
28*x-28*x^-1-33 = 0
28*x^1-28*x^-1-33*x^0 = 0
(28*x^2-33*x^1-28*x^0)/(x^1) = 0 // * x^2
x^1*(28*x^2-33*x^1-28*x^0) = 0
x^1
28*x^2-33*x-28 = 0
28*x^2-33*x-28 = 0
DELTA = (-33)^2-(-28*4*28)
DELTA = 4225
DELTA > 0
x = (4225^(1/2)+33)/(2*28) or x = (33-4225^(1/2))/(2*28)
x = 7/4 or x = -4/7
x in { -4/7, 7/4}
(x+4/7)*(x-7/4) < 0
(-oo:-4/7) (-4/7:7/4) (7/4:+oo) x+4/7 - + + x-7/4 - - +
x in (-4/7:0) U (0:7/4)
(-4/7:0) U (0:7/4)
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