(x^5-4/x)^11

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Solution for (x^5-4/x)^11 equation:


D( x )

x = 0

x = 0

x = 0

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

(x^5-(4/x))^11 = 0

(x^5-4*x^-1)^11 = 0

x^5-4*x^-1 = 0

x^-1*(x^6-4) = 0

1*x^6 = 4 // : 1

x^6 = 4

x^6 = 4 // ^ 1/6

abs(x) = 4^(1/6)

x = 4^(1/6) or x = -4^(1/6)

x^-1*(x-4^(1/6))*(x+4^(1/6)) = 0

(x^-1)^11*(x-4^(1/6))^11*(x+4^(1/6))^11 = 0

( x+4^(1/6) )

x+4^(1/6) = 0 // - 4^(1/6)

x = -4^(1/6)

( x-4^(1/6) )

x-4^(1/6) = 0 // + 4^(1/6)

x = 4^(1/6)

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

x in { -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), -4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6), 4^(1/6) }

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