y=8/x^4

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Solution for y=8/x^4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

y = 8/(x^4) // - 8/(x^4)

y-(8/(x^4)) = 0

y-8*x^-4 = 0

-8*x^-4 = -y // : -8

x^-4 = y/8

-4 < 0

1/(x^4) = y/8 // * x^4

1 = x^4*(y/8) // : y/8

8*y^-1 = x^4

x^4 = 8*y^-1 // ^ 1/4

abs(x) = 8^(1/4)*y^(-1/4)

x = 8^(1/4)*y^(-1/4) or x = -(8^(1/4)*y^(-1/4))

x in { 8^(1/4)*y^(-1/4), -(8^(1/4)*y^(-1/4)) }

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