(3)-((1)/(3x)^(2/3))

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Solution for (3)-((1)/(3x)^(2/3)) equation: 


D( x )

(3*x)^(2/3) = 0

(3*x)^(2/3) = 0

(3*x)^(2/3) = 0

3^(2/3)*x^(2/3) = 0 // : 3^(2/3)

x^(2/3) = 0

x = 0

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

3-(1/((3*x)^(2/3))) = 0

3-(3*x)^(-(2/3)) = 0

-3^(-2/3)*x^(-2/3) = -3 // : -3^(-2/3)

x^(-2/3) = 3/(3^(-2/3))

-2/3 < 0

1/(x^(2/3)) = 3/(3^(-2/3)) // * x^(2/3)

1 = (3/(3^(-2/3)))*x^(2/3) // : 3/(3^(-2/3))

1/(3/(3^(-2/3))) = x^(2/3)

x^(2/3) = 1/(3/(3^(-2/3))) // ^ 3

x^2 = 1/243 // ^ 1/2

abs(x) = (1/243)^(1/2)

x = (1/243)^(1/2) or x = -(1/243)^(1/2)

x in { (1/243)^(1/2), -(1/243)^(1/2) }

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