2012-1.md

course	course_year	question_number	tags	title	year
Analysis II	IB	1	IB 2012 Analysis II	Paper 4, Section I, E	2012

Let $f: \mathbb{R}^{n} \times \mathbb{R}^{m} \rightarrow \mathbb{R}$ be a bilinear function. Show that $f$ is differentiable at any point in $\mathbb{R}^{n} \times \mathbb{R}^{m}$ and find its derivative.