Question

Finding relative extrema and saddle points of a function.

Answer 1

My attempt: I first solved for the partial derivatives and set them to zero. \[f _{x}=0=siny5e^x+ sinyxe^x\]
\[f_{y}=0=5xe^xcosy\]

The critical points I got were x=-5, x=0, y=(pi)/2 and y=3pi/2. I am not sure what to do at this point.

Answer 2

Also, the problem is attached in the image.

Answer 3

What kind of math is this?

Answer 4

@antomicblitz

Answer 5

multivariable calculus. It's just been a while since I've done it so I need a refresher :p

Answer 6

@jim_thompson5910 @ganeshie8 @nincompoop @satellite73

Answer 7

@kropot72 @ParthKohli @mathstudent55