(256/(9x^(6)))^(1/4)

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Solution for (256/(9x^(6)))^(1/4) equation: 


D( x )

9*x^6 = 0

256/(9*x^6) < 0

9*x^6 = 0

9*x^6 = 0

9*x^6 = 0 // : 9

x^6 = 0

x = 0

256/(9*x^6) < 0

256/(9*x^6) < 0

256/9*x^-6 < 0

256/9*x^-6 < 0 // : 256/9

x^-6 < 0/256/9

x^-6 < 0

1/(x^6) < 0

x <> 0

1/(x^6) < 0 // * x^12

(x^12)/(x^6) < 0

x^6 < 0

x belongs to the empty set

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

(256/(9*x^6))^(1/4) = 0

(256/9)^(1/4)*x^(-3/2) = 0 // : (256/9)^(1/4)

x^(-3/2) = 0

x należy do O

x belongs to the empty set

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