Proof of the derivative of delta function

Thread starter rocky3321
Start date Oct 4, 2009
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Delta Delta function Derivative Function Proof

AI Thread Summary

The discussion focuses on proving the relationship δ'(ax) = (1/a)*(1/a)*δ'(x), where 'a' is a constant. The original poster struggled with applying the scaling theorem and the formal definition of δ'(x) to derive the second (1/a) term. They sought insights from others to resolve the issue. Ultimately, the poster found a solution independently and indicated that further replies were unnecessary. The thread highlights the complexities involved in manipulating the properties of the delta function and its derivatives.

Oct 4, 2009

rocky3321

The problem is to prove that δ'(ax) = (1/a)*(1/a)*δ'(x), where a is a constant. I tried applying the scaling theorem with the formal definition of δ'(x) but I can not get the second (1/a) term. Does anyone have some insight on this problem? Thank you...

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Oct 4, 2009

rocky3321

I was able to figure it out, so you do not have to reply to this thread.

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