let $f\colon \mathbb R^{2}\times\mathbb R^{2} \to \mathbb R$ be a bilinear map,i.e,linear in each variable separately.Then for $(V,W)$ in $\mathbb R^{2}\times \mathbb R^{2}$,the derivative $Df(V,W)$ evaluated on $(H,K)$ in $\mathbb R^{2}\times \mathbb R^{2}$ is given by
1.$f(V,K)+f(H,W)$
2.$f(H,K)$
3.$f(V,H)+f(W,K)$
4.$f(H,V)+f(W,K)$
bilinear map and differentiability
6
$\begingroup$
derivatives
bilinear-form
-
0Please: use LaTeX to write mathematics in this site! You can go the FAQ section and follow directions. – 2012-12-19