0=1-x^(-6/7)

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Solution for 0=1-x^(-6/7) equation:


D( x )

x = 0

x = 0

x = 0

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

0 = 1-x^(-6/7) // - 1-x^(-6/7)

x^(-6/7)-1+0 = 0

x^(-6/7)-1 = 0

1*x^(-6/7) = 1 // : 1

x^(-6/7) = 1

-6/7 < 0

1/(x^(6/7)) = 1 // * x^(6/7)

1 = 1*x^(6/7) // : 1

1 = x^(6/7)

x^(6/7) = 1 // ^ 7

x^6 = 1 // ^ 1/6

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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