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D( x )
(3*x^2-(5*x^4))^4 = 0
(3*x^2-(5*x^4))^4 = 0
(3*x^2-(5*x^4))^4 = 0
(3*x^2-5*x^4)^4 = 0
3*x^2-5*x^4 = 0
x^2*(3-5*x^2) = 0
-5*x^2 = -3 // : -5
x^2 = 3/5
x^2 = 3/5 // ^ 1/2
abs(x) = (3/5)^(1/2)
x = (3/5)^(1/2) or x = -(3/5)^(1/2)
x^2*(x-(3/5)^(1/2))*(x+(3/5)^(1/2)) = 0
(x^2)^4*(x-(3/5)^(1/2))^4*(x+(3/5)^(1/2))^4 = 0
( x+(3/5)^(1/2) )
x+(3/5)^(1/2) = 0 // - (3/5)^(1/2)
x = -(3/5)^(1/2)
( x-(3/5)^(1/2) )
x-(3/5)^(1/2) = 0 // + (3/5)^(1/2)
x = (3/5)^(1/2)
( x^2 )
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:-(3/5)^(1/2)) U (-(3/5)^(1/2):0) U (0:(3/5)^(1/2)) U ((3/5)^(1/2):+oo)
4/((3*x^2-(5*x^4))^4) = 0
4/((3*x^2-5*x^4)^4) = 0
3*x^2-5*x^4 = 0
x^2*(3-5*x^2) = 0
-5*x^2 = -3 // : -5
x^2 = 3/5
x^2 = 3/5 // ^ 1/2
abs(x) = (3/5)^(1/2)
x = (3/5)^(1/2) or x = -(3/5)^(1/2)
x^2*(x-(3/5)^(1/2))*(x+(3/5)^(1/2)) = 0
4/((x^2)^4*(x-(3/5)^(1/2))^4*(x+(3/5)^(1/2))^4) = 0
4 = 0
x belongs to the empty set
x belongs to the empty set
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