Can anyone give me the intuitive explanation of the general mean value theorem stated in my notes as under:
Let $f:U\rightarrow \mathbb R$ and $U\subseteq \mathbb R^n$ and let $f$ is differentiable at $K\subseteq U$ which is convex.. If $\gamma(t)=(1-t)a+t(b)$ is a line segment joining $a,b$ and $t\in[0,1]$ Then there is a point $c$ on the line segment s.t.
I'm facing problem how to interpret this theorem.How is it similar to mean value theorem in one-dimension. Please help....