Hey guys, I need to do the following.

Let $\displaystyle c > 0$ and let $\displaystyle f(x) = e^x$. Show that $\displaystyle f(x)$ is Lipschitz continuous for $\displaystyle x \in [-c,c]$.

My idea is to set $\displaystyle L = e^c$, but it is hard to prove that this is a valid Lipschitz constant.