Does response time of a comparator in the datasheet means the time it takes the output to see the change of the input? and the slew rate is the time for the output to change its state?
if i am correct about the response time, is there a way to improve it?
I think you are correct about the response time, and the slew rate is the rate of change in voltage with respect to time (dv/dt). You can probably improve the response time by increasing the gain of the comparator. Are you constructing your own comparator or are you using an off-the-shelf comparator?