y=x3/x6

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Solution for y=x3/x6 equation:


D( x )

x^6 = 0

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

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

y = (x^3)/(x^6) // - (x^3)/(x^6)

y-((x^3)/(x^6)) = 0

y-x^-3 = 0

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

x^-3 = y

-3 < 0

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

1 = x^3*y // : y

1/y = x^3

x^3 = 1/y // ^ 1/3

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

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

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