1/3x^-2/3-x

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


D( x )

x = 0

x = 0

x = 0

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

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

1/9*x^-2-x = 0

x*(1/9*x^-3-1) = 0

1/9*x^-3 = 1 // : 1/9

x^-3 = 9

-3 < 0

1/(x^3) = 9 // * x^3

1 = 9*x^3 // : 9

1/9 = x^3

x^3 = 1/9 // ^ 1/3

x = (1/9)^(1/3)

x = 0

x = 0

x in { 0} 

x = (1/9)^(1/3)

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