Question

Find all critical points of the following functions. 17. f(x, y)=(3x-2)²+(y-4)²

Answer 1

Hi,
(2/3,4)

Explanation:

`f(x,y)(3x-2)^2+(y-4)^2\\\\\\\frac{ \partial{f}} {\partial{x}} =2*(3x-2)*3=0\\\\\frac{ \partial{f}} {\partial{y}} =2*(y-4)=0\\\\\\\left\{\begin{array}{ccc}x&=&(2)/(3) \\\\y&=&4\\\end {array} \right.\\`