Example of function $f:\mathbb R\to \mathbb R$ which is differentible and bijective but its inverse is not differentible.

Question

Example of function $f:\mathbb R\to \mathbb R$ which is differentible and bijective but its inverse is not differentible.

First of all do not know is above is true as for inverse function to be not differentible , there exist some point at which $f'(x)=0$ which is not possible due to bijective ness .

Where I am missing ?

Any Help will be appereciated

Answer 1

$f'(x)$ can be zero, e.g. $f(x)=x^3$ – user25959 18 mins ago