1-3x^(-2/3)

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

-2/3 < 0

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

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

3 = x^(2/3)

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

x^2 = 27 // ^ 1/2

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

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

x in { 3*3^(1/2), -(3*3^(1/2)) }

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