Find $\frac{dy}{dx}$
Of: $(xy)^{0.5} + x + y^2 = 0$.
The solution provided on the bottom of page 13 of this pdf: https://www.biochemtuition.com/wp-content/uploads/2015/08/CH4-1.pdf
shows the method of applying product rule initially.
I instead want to square both sides and solve accordingly. This is my working out - but I cannot get the same answer. Can someone please help.
This is my working out:
If you substitute $\sqrt{xy}=-x-y^2$ to the book's solution, you will get yours.