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August 3, 2015

Homework Help: calculus

Posted by Help Please on Friday, March 9, 2012 at 9:30pm.

find max, min and saddle points of the give function f(x,y)=sin(x)+sin(y)+sin(x+y)
0<=x<=pi/4
0<=y<=pi/4

i have that
dz/dx=cos(x)+cos(x+y)
dz/dy=cos(y)+cos(x+y)

and i set them equal to zero but im kinda confused on how to really solve that. i mean i got an answer but that was just from plugging things in and seeing if they worked but i want to know if i can actually solve this without doing that. do i use a trig identity? cause i did that and it came out pretty ugly.

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