1/x^3-4x

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Solution for 1/x^3-4x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in (-oo:0) U (0:+oo)

1/(x^3)-(4*x) = 0

1/(x^3)-4*x = 0

x^-3-4*x = 0

x*(x^-4-4) = 0

1*x^-4 = 4 // : 1

x^-4 = 4

-4 < 0

1/(x^4) = 4 // * x^4

1 = 4*x^4 // : 4

1/4 = x^4

x^4 = 1/4 // ^ 1/4

abs(x) = (1/4)^(1/4)

x = (1/4)^(1/4) or x = -(1/4)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (1/4)^(1/4), -(1/4)^(1/4) }

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