((1/X)-3X)^12

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Solution for ((1/X)-3X)^12 equation:


D( X )

X = 0

X = 0

X = 0

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

(1/X-(3*X))^12 = 0

(1/X-3*X)^12 = 0

(X^-1-3*X)^12 = 0

X^-1-3*X = 0

X^-1*(1-3*X^2) = 0

-3*X^2 = -1 // : -3

X^2 = 1/3

X^2 = 1/3 // ^ 1/2

abs(X) = (1/3)^(1/2)

X = (1/3)^(1/2) or X = -(1/3)^(1/2)

X^-1*(X-(1/3)^(1/2))*(X+(1/3)^(1/2)) = 0

(X^-1)^12*(X-(1/3)^(1/2))^12*(X+(1/3)^(1/2))^12 = 0

( X+(1/3)^(1/2) )

X+(1/3)^(1/2) = 0 // - (1/3)^(1/2)

X = -(1/3)^(1/2)

( X-(1/3)^(1/2) )

X-(1/3)^(1/2) = 0 // + (1/3)^(1/2)

X = (1/3)^(1/2)

( X^-1 )

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

X^-1 = 0

X należy do O

X in { -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), -(1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2), (1/3)^(1/2) }

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