# Finding Local Max and Min values and saddle in mult. Calculu

1. Apr 6, 2015

### Physicsnoob90

1. The problem statement, all variables and given/known data
Find the local maximum and minimum values and saddle points of the function
f(x,y) = x^2 + xy + y^2 + y

2. Relevant equations
Local max/min
critical points

3. The attempt at a solution
1) partial derivative: fx = 2x+y fy = x+2y+1

from here, i'm a little confuse on what should i do to find the critical point in order to solve for the local max/min.

2. Apr 6, 2015

### LCKurtz

Set the two partials equal to zero and solve for the critical point $(a,b)$. Then test it.