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D( x )
(4*x-3)^2 = 0
(4*x-3)^2 = 0
(4*x-3)^2 = 0
4*x-3 = 0 // + 3
4*x = 3 // : 4
x = 3/4
x in (-oo:3/4) U (3/4:+oo)
4 = 23/4-15/((4*x-3)^2)-3 // - 23/4-15/((4*x-3)^2)-3
3-(-15/((4*x-3)^2))-(23/4)+4 = 0
15*(4*x-3)^-2-23/4+3+4 = 0
15/((4*x-3)^2)-23/4+3+4 = 0
(4*15)/(4*(4*x-3)^2)+(-23*(4*x-3)^2)/(4*(4*x-3)^2)+(3*4*(4*x-3)^2)/(4*(4*x-3)^2)+(4^2*(4*x-3)^2)/(4*(4*x-3)^2) = 0
3*4*(4*x-3)^2-23*(4*x-3)^2+4^2*(4*x-3)^2+4*15 = 0
192*x^2-368*x^2+256*x^2+552*x-288*x-384*x-147+108+144 = 0
256*x^2-176*x^2+264*x-384*x-39+144 = 0
80*x^2-120*x+105 = 0
80*x^2-120*x+105 = 0
5*(16*x^2-24*x+21) = 0
16*x^2-24*x+21 = 0
DELTA = (-24)^2-(4*16*21)
DELTA = -768
DELTA < 0
5 = 0
5/(4*(4*x-3)^2) = 0
5/(4*(4*x-3)^2) = 0 // * 4*(4*x-3)^2
5 = 0
x belongs to the empty set
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