(Solved): Find the local extrema of the following function. f(x,y)=3x22xy8y2+42x+106y+7 Find fx(x ...

Find the local extrema of the following function. $f(x,y)=?3x^2?2xy?8y^2+42x+106y+7$ Find $f_x(x,y)$ and $f_y(x,y)$. $\begin{array}{l}{f}_x(x,y)=\\ f_y(x,y)=\end{array}$ Identify the location of any locai maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima, Find the values of any local maxima. Select the correct cholce below and, if necessary, fill in the answer box to complete your choice. A. The values of the local maxima are (Use a comma to separate answers as neecea.) B. There are no local maxima. Identify the location of any local minima. Select the comect choice below and, If necessary, filt in the answer box to complete your choice. A. There are local minima located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local minima. Find the values of any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The values of the local minima are (Use a comma to separate answers as needed.) B. There are no local minima. Identify the location of any saddie points. Select the correct choice below and, if necessary, fil in the answer box to complete your choice. A. There are saddie points located at (Type an ordered pair, Use a comma to separate answers as needed.) B. There are no saddie points.