((4x^8y^8)^(1/2))/((8x^-9y^3)^(-1/3))

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Solution for ((4x^8y^8)^(1/2))/((8x^-9y^3)^(-1/3)) equation:


D( x )

x = 0

4*x^8*y^8 < 0

(8*x^-9*y^3)^(-1/3) = 0

8*x^-9*y^3 = 0

x = 0

x = 0

4*x^8*y^8 < 0

4*x^8*y^8 < 0

4*x^8*y^8 = 0

4*x^8*y^8 = 0 // : 4*y^8

x^8 = 0

x = 0

x < 0

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

(8*x^-9*y^3)^(-1/3) = 0

(8*x^-9*y^3)^(-1/3) = 0

1/2*x^3*y^-1 = 0 // : 1/2*y^-1

x^3 = 0

x = 0

8*x^-9*y^3 = 0

8*x^-9*y^3 = 0

8*x^-9*y^3 = 0 // : 8*y^3

x^-9 = 0

x należy do O

x in (0:+oo)

((4*x^8*y^8)^(1/2))/((8*x^-9*y^3)^(-1/3)) = 0

4*x*y^5 = 0 // : 4*y^5

x = 0

x in { 0}

x belongs to the empty set

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