Question

Find dy/dx by using implicit differentiation.

(xy)^(1/2) = 9+(x^2)(y)

Answer 1

at what point are you stuck?

Answer 2

using product rule on
x^(1/2)* y ^(1/2) = 9 + (x^2)(y)

(1/2)x^(-1/2) * y^(1/2) + (1/2)y^(-1/2)* dy/dx * x^(1/2) = x^2* dy/dx + y * 2x
- now make dy/dx the subject

- i've struggled a bit with that - maybe another opinion would be helpful

Answer 3

whew... not done.. i gotta rest my hand...