# How do you determine dy/dx given #y=x^2+xy#?

##### 2 Answers

Oct 21, 2016

Given a choice, I would solve for

#### Explanation:

**Making the function explicit**

# = (2x-x^2)/(1-x)^2#

**Leaving the function implicit**

Oct 21, 2016

#### Explanation:

You have to use Implicit Differentiation, which is a special case of the chain rule, and the product rule.

Simplify

Solve for

Factor out

Isolate

Simplify

Here is an example of using the implicit differentiation.