How do I decide the bandwidth of a driver through 'input transition rise and fall rate'?
Bandwidth isn't the term your looking for, you want to know what the maximum operating frequency or switching rate is.  Look to table 11 snipped here.



I'd use max numbers, so at 5.0 V and room temp you can run that at 4.0 ns + 4.0 ns = 8.0 ns which is 125 MHz.  The IC will run that fast but it may not be useful for you unless you can make sure that you can handle the variable delay in subsequent circuits.