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D( x )
x = 0
2*x^-4*x-16 = 0
x = 0
x = 0
2*x^-4*x-16 = 0
2*x^-4*x-16 = 0
2*x^-3 = 16 // : 2
x^-3 = 8
-3 < 0
1/(x^3) = 8 // * x^3
1 = 8*x^3 // : 8
1/8 = x^3
x^3 = 1/8 // ^ 1/3
x = 1/2
x in (-oo:0) U (0:1/2) U (1/2:+oo)
(2*x^2-(5*x)-12)/(2*x^-4*x-16) = 0
(2*x^2-5*x-12)/(2*x^-4*x-16) = 0
(2*x^2-5*x-12)/(2*x^-3-16) = 0
2*x^2-5*x-12 = 0
2*x^2-5*x-12 = 0
DELTA = (-5)^2-(-12*2*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+5)/(2*2) or x = (5-121^(1/2))/(2*2)
x = 4 or x = -3/2
(x+3/2)*(x-4) = 0
((x+3/2)*(x-4))/(2*x^-3-16) = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -3/2, 4 }
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