MATH 241 (Professor Green) Second Matlab Assignment
. Let
234
)1()sin(),( yxxyyxxyxh
.
1. Find all critical points of h in the square
22,22 yx
. You will need
to plot the curves
0
x
h
and
0
y
h
, and use newton2d to find the points of
intersection.
2. Evaluate h at the critical points and obtain a plot of h showing the gradient and
some contours corresponding to values of h at and near the critical points.
3. Classify the critical points of h based on your plot, and then confirm your
classification by using the second derivative test.