How do you use implicit differentiation to find dy/dx given #2xy^2-x^3y=0#?
See the explanation
This is a compounded equation for the three separate equations
x = 0, representing the y-axis and
y = 0, representing the x-axis and y' = 0.
I think that the question could have been worded as follows.
How do you find y', given
Of course, without regard to the stated aspects,
I request readers to compare both approaches to this problem.