sorry everyone nevermind i found my error!
use the chain rule to find the derivative of g(f(x)) at the indicated point a.
g(x,y)= (x^2 * y^3, 3x-y^2)
f(x,y)= (-y,x)
a=(3,2)
i did:
D(g) matrix
2x 3y^2
3 -2y
D(g(f(x,y))) matrix
-2y 3x^2
3 -2x
D(f) matrix
0 -1
1 0
^i have a feeling this matrix is where i went wrong?
D(g(f(x,y)) * D(f) matrix:
3x^2 2y
-2x -3
at (3,2):
27 4
-6 -3
the answer in the back is
108 108
-6 -3