1
$\begingroup$

I am looking for a function of exponential order(i.e. bounded in absolute value by $Me^{ct}$ for some $M, c$) whose derivative is not of exponential order.

My thought was to look for functions which oscillate wildly between + and - in continually decreasing "periods," but I'm having trouble finding specific functions. Any help is appreciated.

$\endgroup$
4
$\begingroup$

How about this: $\sin(e^{t^2})$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.