# Mean Value Theorem

Theorem: If $f(x)$ is continuous on $[a,b]$ and differentiable on $(a,b)$, then there exists a number $c∈(a,b)$ such that $f_{′}(c)=b−af(b)−f(a) $

This is easy to forget, so take a look visually:

Theorem: If $f(x)$ is continuous on $[a,b]$ and differentiable on $(a,b)$, then there exists a number $c∈(a,b)$ such that $f_{′}(c)=b−af(b)−f(a) $

This is easy to forget, so take a look visually: