y=x^9/x^13

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Solution for y=x^9/x^13 equation: 


D( x )

x^13 = 0

x^13 = 0

x^13 = 0

1*x^13 = 0 // : 1

x^13 = 0

x = 0

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

y = (x^9)/(x^13) // - (x^9)/(x^13)

y-((x^9)/(x^13)) = 0

y-x^-4 = 0

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

x^-4 = y

-4 < 0

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

1 = x^4*y // : y

1/y = x^4

x^4 = 1/y // ^ 1/4

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

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

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

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