Local Extremum – A function with fixed powers – Exercise 5523

Exercise

Given the function

$z=xy+x^2-2y^2-9y$

1. Find the local extremum points of the function and classify their type.

2. In the domain bounded by the lines

$x=0, y=0, x-y-8=0$

Find the maximum value and the minimum value of the function.

Final Answer

A saddle point

$(1,-2,9)$

Min and max values

$\max_D z(8,0) = 64$

$\min_D z(0,-8) =-56$

Solution

Coming soon…

Share with Friends