Distributional functions?

Question

What is the derviative of the delta function?

Answer 1

Depending on which delta function you are talking about the derivative is different.

The Dirac Delta function is defined by:

delta(x) => = infinity, when x=0; = 0 when x not equal to 0

The derivative of the Dirac Delta is undefined because you cannot take the derivative of an infinite value

The Kronecker Delta function is defined by:

delta(x) => = 1, when x=0; = 0 when x not equal to 0

Thus the derivative of the Kronecker Delta function is 0 for all points because the function is constant and fixed.

Hope this helps

Answer 2

0,0,0,0,0, infinity,0, negativly infinity, 0,0,0,0
I don't know how to express in function.

Answer 3

See http://en.wikipedia.org/wiki/Dirac_delta_function
or
http://en.wikipedia.org/wiki/Kronecker_delta