y=1-1/x^3

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Solution for y=1-1/x^3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

y = 1-(1/(x^3)) // - 1-(1/(x^3))

1/(x^3)+y-1 = 0

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

x^-3 = 1-y

-3 < 0

1/(x^3) = 1-y // * x^3

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

1/(1-y) = x^3

x^3 = 1/(1-y) // ^ 1/3

x = 1/((1-y)^(1/3))

x = 1/((1-y)^(1/3))

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