2) Find the Jacobi Matrix for both of the following in two different
ways:
a) With the chain rule
b) Calculate h first and then differentiate
1-
f: \mathbb{R}^3 \to \mathbb{R}^2, f(x,y,z) := \begin{pmatrix} y \sin(z) \\ x+y \end{pmatrix}
2-
g: \mathbb{R}^2 \to \mathbb{R}^3, g(u, v) := \begin{pmatrix} u+v \\ v^2 \\ uv \end{pmatrix}.
