in the shown example (attached ) picture i dont understand the circled phrases in red
- what is fxy ? what did we derive to get 1
- why is it local maximum??
- what is the saddle point in this example
i appreciate your help
That is, you differentiate f partially with respect to x, and then differentiate that partially with respect to y.
When you plug x = -2, y = -2 into the given equation for f, you get 8.
i got all the other parts (with respect to x then with respect to y).
if i consider both x and y constants i should get f(xy)= 4
is it possible to show me how did we get (1) in that part
Partially differentiate it with respect to (partially) to get the expression for . That is, . It's just a more compact notation for it.
Then differentiate that partially with respect to to get .
That is, is or .
And when you work it out (they've done for you) you get .
You'll probably find something about this in your text book.