# What are the critical points of f(x,y)=x^2+y^2-4x-6y+5 ?

Jun 29, 2016

$\left(2 , 3\right)$

#### Explanation:

${f}_{x} = 2 x - 4 q \quad \star$
${f}_{y} = 2 y - 6 q \quad \square$

critical points are at ${f}_{x} = {f}_{y} = 0$

from $\star$ and $\square$, that is limited to point $\left(2 , 3\right)$