# How do you use implicit differentiation to find dy/dx given #2xy^2-x^3y=0#?

##### 1 Answer

Sep 13, 2016

See the explanation

#### Explanation:

Rearranging,

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,

Separating y',

I request readers to compare both approaches to this problem.