2^-6x^-2y^4/2-3x^-5y^8

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Solution for 2^-6x^-2y^4/2-3x^-5y^8 equation: 


D( x )

x = 0

x = 0

x = 0

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

(2^-6*x^-2*y^4)/2-(3*x^-5*y^8) = 0

(2^-6*x^-2*y^4)/2-3*x^-5*y^8 = 0

1/128*x^-2*y^4-3*x^-5*y^8 = 0

x^-2*y^4*(1/128-3*x^-3*y^4) = 0

-3*x^-3*y^4 = -1/128 // : -3*y^4

x^-3 = 1/384*y^-4

-3 < 0

1/(x^3) = 1/384*y^-4 // * x^3

1 = 1/384*x^3*y^-4 // : 1/384*y^-4

384*y^4 = x^3

x^3 = 384*y^4 // ^ 1/3

x = 4*6^(1/3)*y^(4/3)

(y^4)/(x^2) = 0

x^-2*y^4 = 0 // : y^4

x^-2 = 0

x należy do O

x = 4*6^(1/3)*y^(4/3)

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