Homework SoursefR2R GR2R2 are defined by fxyxy Guvuvuv hR2R is defined to b
f:R^2->R, G:R^2->R^2 are defined by f(x,y)=xy G(u,v)=(u+v,uv) h:R^2->R is defined to be foG. a) Find dh(u,v) - using the chain rule. b) find dh(u,v) by calculating h(u,v) (find a \"formula\" for h(u,v) that involves only the variables u,v), then differentiating that function. (compare to answer from a).
Solution
given
f:R^2->R, G:R^2->R^2 are defined by f(x,y)=xy G(u,v)=(u+v,uv) h:R^2->R
