f
(0,0) -9
(1,2) -2
f_x
-1
3
f_y
8
-9
a) Suppose that $f$ is a differentiable function of $x$ and $y$ and
$g(u, v) = f(e^u + \sin v, e^u + \cos v)$
Use the table of values above to calculate $g(0,0)$, $g_u(0,0)$ and $g_v(0,0)$
g(0, 0) =
g_u(0,0) =
g_v(0,0) =
b) Suppose that $f$ is as above and $h(r, s) = f(2r - s, s^2 - 4r)$. Use the table of
values to calculate $h(1,2)$, $h_r(1,2)$ and $h_s(1,2)$.
h(1,2) =
h_r(1, 2) =
h_s(1, 2) =
