x=x^(-7/3)

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Solution for x=x^(-7/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

x = x^(-7/3) // - x^(-7/3)

x-x^(-7/3) = 0

x-x^(-7/3) = 0

x*(1-x^(-10/3)) = 0

-1*x^(-10/3) = -1 // : -1

x^(-10/3) = 1

-10/3 < 0

1/(x^(10/3)) = 1 // * x^(10/3)

1 = 1*x^(10/3) // : 1

1 = x^(10/3)

x^(10/3) = 1 // ^ 3

x^10 = 1 // ^ 1/10

abs(x) = 1

x = 1 or x = -1

x = 0

x = 0

x in { 0} 

x in { 1, -1 }

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