36/(x^2y)-1/18

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Solution for 36/(x^2y)-1/18 equation:


D( x )

x^2*y = 0

x^2*y = 0

x^2*y = 0

x^2*y = 0 // : y

x^2 = 0

x = 0

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

36/(x^2*y)-(1/18) = 0

36/(x^2*y)-1/18 = 0

36*x^-2*y^-1 = 1/18 // : 36*y^-1

x^-2 = 1/648*y

-2 < 0

1/(x^2) = 1/648*y // * x^2

1 = 1/648*x^2*y // : 1/648*y

648*y^-1 = x^2

x^2 = 648*y^-1 // ^ 1/2

abs(x) = 18*2^(1/2)*y^(-1/2)

x = 18*2^(1/2)*y^(-1/2) or x = -(18*2^(1/2)*y^(-1/2))

x in { 18*2^(1/2)*y^(-1/2), -(18*2^(1/2)*y^(-1/2)) }

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