# How do you use implicit differentiation to find the slope of the curve given #x^2+xy+y^2=7# at (3,2)?

##### 1 Answer

Oct 26, 2016

See below.

#### Explanation:

This point is not actually on the graph. Let's pick the point

We start by differentiating, using the product rule, the power rule and implicit differentiation.

The slope of the curve is given by evaluating the point within the derivative.

So, letting the slope be

Hopefully this helps!