(((x^1/2)*(y^-2))/((y)*(x^-7/4)))^4

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Solution for (((x^1/2)*(y^-2))/((y)*(x^-7/4)))^4 equation: 


D( x )

((x^-7)/4)*y = 0

x = 0

((x^-7)/4)*y = 0

((x^-7)/4)*y = 0

1/4*x^-7*y = 0 // : 1/4*y

x^-7 = 0

x należy do O

x = 0

x = 0

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

((((x^1)/2)*y^-2)/(((x^-7)/4)*y))^4 = 0

(((x/2)*y^-2)/(((x^-7)/4)*y))^4 = 0

16*x^32*y^-12 = 0 // : 16*y^-12

x^32 = 0

x = 0

x in { 0} 

x belongs to the empty set

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