Let ( f(x, y)=x y ). Suppose ( x=g(s, t), y=h(s, t) ), where ( g ) and ( h ) are differentiable functions. Find ( frac{partial f}{partial t} ) at ( (s, t)=(1,2) ) given the following information.
(Note that you do not need to use all of the information given below.)
[
egin{array}{rlrl}
g(1,2) & =4 & h(1,2) & =2 \
g_{s}(1,2) & =0 & h_{s}(1,2) & =-1 \
g_{t}(1,2) & =3 & h_{t}(1,2) & =5
end{array}
]
26
10
22
8
