Sunday 23 February 2014

real analysis - Example of function $f:mathbb Rto mathbb R$ which is differentible and bijective but its inverse is not differentible.


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

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