# How do you find the critical points for #f(x, y) = x^2 + 4x + y^2# and the local max and min?

##### 1 Answer

Apr 29, 2017

#### Answer:

The point

#### Explanation:

Evaluate the partial derivatives of the first order:

so the critical points are the solutions of the equations:

We have therefore a single critical point:

so we have that:

then the point