So I understand that the unit impulse function is the "derivative" of the unit-step, but why is it that unit impulse functions are used to begin with?
My differential equations textbook describes it in a physical sense as impulse functions before more useful to describe voltages/forces of large magnitudes that act over short time intervals, but what makes unit impulse more useful in modeling instantaneous forces?
note: I have justed learned unit-step and unit-impulse functions and am having trouble differentiating between what both do?