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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(3*x^3)/5 = (48*x^-1)/5 // - (48*x^-1)/5
(3*x^3)/5-((48*x^-1)/5) = 0
(3*x^3)/5+(-48/5)*x^-1 = 0
3/5*x^3-48/5*x^-1 = 0
(3/5*x^4-48/5*x^0)/(x^1) = 0 // * x^2
x^1*(3/5*x^4-48/5*x^0) = 0
x^1
(3/5)*x^4-48/5 = 0
(3/5)*x^4-48/5 = 0 // * 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 48, -48 }
1
x = 1
3*x^4-48 = -45
1
-1
x = -1
3*x^4-48 = -45
-1
2
x = 2
3*x^4-48 = 0
2
x-2
3*x^3+6*x^2+12*x+24
3*x^4-48
x-2
6*x^3-3*x^4
6*x^3-48
12*x^2-6*x^3
12*x^2-48
24*x-12*x^2
24*x-48
48-24*x
0
3*x^3+6*x^2+12*x+24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
x = 1
3*x^3+6*x^2+12*x+24 = 45
1
-1
x = -1
3*x^3+6*x^2+12*x+24 = 15
-1
2
x = 2
3*x^3+6*x^2+12*x+24 = 96
2
-2
x = -2
3*x^3+6*x^2+12*x+24 = 0
-2
x+2
3*x^2+12
3*x^3+6*x^2+12*x+24
x+2
-3*x^3-6*x^2
12*x+24
-12*x-24
0
3*x^2+12 = 0
DELTA = 0^2-(3*4*12)
DELTA = -144
DELTA < 0
x in { 2, -2}
x in { 2, -2 }
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