every continuously differentiable function is uniformly continuous

Is every continuously differentiable function $f:\mathbb{R}\to \mathbb{R}$ uniformly continuous?

I think no, but am unable to find any counterexample. Any idea. Thanks beforehand.

• No. $x\mapsto x^2$ e.g. – user384138 Jan 25 '17 at 11:28
• @OpenBall oh, thanks. It was so easy! – vidyarthi Jan 25 '17 at 11:29

As posted in the comment by Open Ball, there exists several such functions which are continuously differentiable, but not uniformly continuous. Few of them, being:$x^n,n\ge2; \sin x^n,n\ge2; e^{x^n},n\ge2$etc.