Differentiate $g \circ f$ of the following functions:
$$f: \mathbb{R}^2 \rightarrow \mathbb{R}^2 $$
$$f(x,y)=(x-y,x+y)$$ $$g: \mathbb{R}^2 \rightarrow \mathbb{R}^2 $$ $$g(x_1,x_2)=(e^{x_1} \cos x_2,e^{x_1}\sin x_2)$$ I am looking for the solution that would involve use of jacobian matrix.