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D( x )
1/(3*x^3) <= 0
2*x^4+10*x^3 <= 0
3*x^3 = 0
1/(3*x^3) <= 0
1/(3*x^3) <= 0
1/3*x^-3 <= 0
1/3*x^-3 <= 0 // : 1/3
x^-3 <= 0/1/3
x^-3 <= 0
1/(x^3) <= 0
x <> 0
1/(x^3) <= 0 // * x^6
(x^6)/(x^3) <= 0
x^3 <= 0
x^3 <= 0 // ^ 1/3
x <= 0
x in (-oo:0)
2*x^4+10*x^3 <= 0
2*x^4+10*x^3 <= 0
2*x^4+10*x^3 = 0
2*x^3*(x+5) = 0
x+5 = 0 // - 5
x = -5
2*x^3 = 0
2*x^3 = 0 // : 2
x^3 = 0
x = 0
x*(x+5) <= 0
(-oo:-5)(-5:0)(0:+oo)x+5-++x--+
3*x^3 = 0
3*x^3 = 0
3*x^3 = 0 // : 3
x^3 = 0
x = 0
x in (0:+oo)
ln(2*x^4+10*x^3)+ln(1/(3*x^3)) = 0
ln(1*(2*x^4+10*x^3))+ln(1/(3*x^3)) = 0
ln(1*(1/(3*x^3))*(2*x^4+10*x^3)) = 0
ln((1/(3*x^3))*(2*x^4+10*x^3)) = 0
ln((1/(3*x^3))*(2*x^4+10*x^3)) = ln(e^0)
(1/(3*x^3))*(2*x^4+10*x^3) = e^0
(1/(3*x^3))*(2*x^4+10*x^3)-e^0 = 0
1/3*x^-3*(2*x^4+10*x^3)-1 = 0
1/3*x^-3*(2*x^4+10*x^3)-1 = 0
2/3*x+7/3 = 0
2/3*x+7/3 = 0
2/3*x+7/3 = 0 // - 7/3
2/3*x = -7/3 // : 2/3
x = -7/3/2/3
x = -7/2
x in { -7/2}
x belongs to the empty set
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