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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
x+(5/3)*x+4*x-(1/x)-(3/(x^2))+3+3 = 0
x+(5/3)*x+4*x-x^-1-3*x^-2+3+3 = 0
20/3*x^1-1*x^-1-3*x^-2+6*x^0 = 0
(20/3*x^3+6*x^2-1*x^1-3*x^0)/(x^2) = 0 // * x^4
x^2*(20/3*x^3+6*x^2-1*x^1-3*x^0) = 0
x^2
(20/3)*x^3+6*x^2-x-3 = 0
(20/3)*x^3+6*x^2-x-3 = 0 // * 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
20*x^3+18*x^2-3*x-9 = 26
1
-1
x = -1
20*x^3+18*x^2-3*x-9 = -8
-1
3
x = 3
20*x^3+18*x^2-3*x-9 = 684
3
-3
x = -3
20*x^3+18*x^2-3*x-9 = -378
-3
9
x = 9
20*x^3+18*x^2-3*x-9 = 16002
9
-9
x = -9
20*x^3+18*x^2-3*x-9 = -13104
-9
{ 1/2, -1/2, 1/4, -1/4, 1/5, -1/5, 1/10, -1/10, 1/20, -1/20, -1/2, 1/2, -1/4, 1/4, -1/5, 1/5, -1/10, 1/10, -1/20, 1/20, 3/2, -3/2, 3/4, -3/4, 3/5, -3/5, 3/10, -3/10, 3/20, -3/20, -3/2, 3/2, -3/4, 3/4, -3/5, 3/5, -3/10, 3/10, -3/20, 3/20, 9/2, -9/2, 9/4, -9/4, 9/5, -9/5, 9/10, -9/10, 9/20, -9/20, -9/2, 9/2, -9/4, 9/4, -9/5, 9/5, -9/10, 9/10, -9/20, 9/20 }
1/2
x
1/2
20*x^3+18*x^2-3*x-9 = -3.5
1/2
-1/2
x
-1/2
20*x^3+18*x^2-3*x-9 = -5.5
-1/2
1/4
x
1/4
20*x^3+18*x^2-3*x-9 = -8.3125
1/4
-1/4
x
-1/4
20*x^3+18*x^2-3*x-9 = -7.4375
-1/4
1/5
x
1/5
20*x^3+18*x^2-3*x-9 = -8.72
1/5
-1/5
x
-1/5
20*x^3+18*x^2-3*x-9 = -7.84
-1/5
1/10
x
1/10
20*x^3+18*x^2-3*x-9 = -9.1
1/10
-1/10
x
-1/10
20*x^3+18*x^2-3*x-9 = -8.54
-1/10
1/20
x
1/20
20*x^3+18*x^2-3*x-9 = -9.1025
1/20
-1/20
x
-1/20
20*x^3+18*x^2-3*x-9 = -8.8075
-1/20
-1/2
x
-1/2
20*x^3+18*x^2-3*x-9 = -5.5
-1/2
1/2
x
1/2
20*x^3+18*x^2-3*x-9 = -3.5
1/2
-1/4
x
-1/4
20*x^3+18*x^2-3*x-9 = -7.4375
-1/4
1/4
x
1/4
20*x^3+18*x^2-3*x-9 = -8.3125
1/4
-1/5
x
-1/5
20*x^3+18*x^2-3*x-9 = -7.84
-1/5
1/5
x
1/5
20*x^3+18*x^2-3*x-9 = -8.72
1/5
-1/10
x
-1/10
20*x^3+18*x^2-3*x-9 = -8.54
-1/10
1/10
x
1/10
20*x^3+18*x^2-3*x-9 = -9.1
1/10
-1/20
x
-1/20
20*x^3+18*x^2-3*x-9 = -8.8075
-1/20
1/20
x
1/20
20*x^3+18*x^2-3*x-9 = -9.1025
1/20
3/2
x
3/2
20*x^3+18*x^2-3*x-9 = 94.5
3/2
-3/2
x
-3/2
20*x^3+18*x^2-3*x-9 = -31.5
-3/2
3/4
x
3/4
20*x^3+18*x^2-3*x-9 = 7.3125
3/4
-3/4
x
-3/4
20*x^3+18*x^2-3*x-9 = -5.0625
-3/4
3/5
x
3/5
20*x^3+18*x^2-3*x-9 = 0
3/5
x-3/5
20*x^2+30*x+15
20*x^3+18*x^2-3*x-9
x-3/5
12*x^2-20*x^3
30*x^2-3*x-9
18*x-30*x^2
15*x-9
9-15*x
0
20*x^2+30*x+15 = 0
DELTA = 30^2-(4*15*20)
DELTA = -300
DELTA < 0
x in { 3/5}
x = 3/5
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