I was wondering for the bounded function $b(t)$ what statements can be made about the derivative of
$f(t)=exp(b(t))$
specifically it would be nice if the derivative $f'$ were bounded.
I was wondering for the bounded function $b(t)$ what statements can be made about the derivative of
$f(t)=exp(b(t))$
specifically it would be nice if the derivative $f'$ were bounded.
Only if $b'(t)$ is bounded, since $f'(t) = b'(t) exp(b(t))$.
Try $b(t) = sin(t^2)$.