((7x^3/2*(y^5))/(x^2*(y^-3/2)))^-2

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Solution for ((7x^3/2*(y^5))/(x^2*(y^-3/2)))^-2 equation: 


D( x )

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

(((7*x^3)/2)*y^5)/(x^2*((y^-3)/2)) = 0

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

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

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

x^2 = 0

x = 0

(((7*x^3)/2)*y^5)/(x^2*((y^-3)/2)) = 0

(((7*x^3)/2)*y^5)/(x^2*((y^-3)/2)) = 0

7*x*y^8 = 0 // : 7*y^8

x = 0

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

((((7*x^3)/2)*y^5)/(x^2*((y^-3)/2)))^-2 = 0

1/49*x^-2*y^-16 = 0 // : 1/49*y^-16

x^-2 = 0

x należy do O

x belongs to the empty set

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