somebody please explain unit step function ...how come it is defined at zero...though there is a jump ...but still were are able to differentiate and integrate it from zero ....

Question

experimentx · Answer

there are not really called functions ... rather generalized function and derivatives are called generalized derivatives.

ghazi · Answer

it would be great if you could make that generalisation more lucid...actually i am stuck and thinking of finding it other way..

experimentx · Answer

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this is your step function f(t) = u(t-t_0)

experimentx · Answer

the derivative at t=t_0, would be delta(t-t_0)

ghazi · Answer

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experimentx · Answer

yeah ... that works as a switch.

ghazi · Answer

how you define derivative at 0?

ghazi · Answer

exactly that works as a switch with constant supply

experimentx · Answer

at 0, the derivative will be equal to ... value of jump times delta(t)

ghazi · Answer

well don't we count for jump..i mean definition of derivative

experimentx · Answer

at this particular case ... you jump is just 1

experimentx · Answer

http://en.wikipedia.org/wiki/Dirac_delta_function