Let f(u,v)=(tan(u),ev ,u²,v² ) and g(x,y)=(eˣ y,xy). Calculate d(f∘g)(1,1) using the chain rule, i.e., without computing f∘g directly.

A) (e,1,1,1)
B) (e²,e,1,2)
C) (e² ,1,1,2)
D) (e,e² ,1,1)