y=7/(9x^(1/2))

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Solution for y=7/(9x^(1/2)) equation: 


D( x )

x < 0

9*x^(1/2) = 0

x < 0

9*x^(1/2) = 0

9*x^(1/2) = 0

9*x^(1/2) = 0 // : 9

x^(1/2) = 0

x = 0

x in (0:+oo)

y = 7/(9*x^(1/2)) // - 7/(9*x^(1/2))

y-(7/(9*x^(1/2))) = 0

(-7/9)*x^(-(1/2))+y = 0

-7/9*x^(-1/2) = -y // : -7/9

x^(-1/2) = 9/7*y

-1/2 < 0

1/(x^(1/2)) = 9/7*y // * x^(1/2)

1 = 9/7*x^(1/2)*y // : 9/7*y

7/9*y^-1 = x^(1/2)

x^(1/2) = 7/9*y^-1 // ^ 2

x = 49/81*y^-2

x = 49/81*y^-2

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