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D( x )
x^4-(16*x^2) = 0
x^4-(16*x^2) = 0
x^4-(16*x^2) = 0
x^4-16*x^2 = 0
t_1 = x^2
1*t_1^2-16*t_1^1 = 0
t_1^2-16*t_1 = 0
DELTA = (-16)^2-(0*1*4)
DELTA = 256
DELTA > 0
t_1 = (256^(1/2)+16)/(1*2) or t_1 = (16-256^(1/2))/(1*2)
t_1 = 16 or t_1 = 0
t_1 = 0
x^2+0 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
t_1 = 16
x^2-16 = 0
1*x^2 = 16 // : 1
x^2 = 16
x^2 = 16 // ^ 1/2
abs(x) = 4
x = 4 or x = -4
x in (-oo:-4) U (-4:0) U (0:4) U (4:+oo)
1/(x^4-(16*x^2)) = 0
1/(x^4-16*x^2) = 0
x^4-16*x^2 = 0
x^2*(x^2-16) = 0
1*x^2 = 16 // : 1
x^2 = 16
x^2 = 16 // ^ 1/2
abs(x) = 4
x = 4 or x = -4
x^2*(x-4)*(x+4) = 0
1/(x^2*(x-4)*(x+4)) = 0
1 = 0
x belongs to the empty set
x belongs to the empty set
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