Proof of the derivative of delta function

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SUMMARY

The discussion centers on proving the relationship δ'(ax) = (1/a)*(1/a)*δ'(x), where 'a' is a constant. The original poster attempted to apply the scaling theorem alongside the formal definition of the derivative of the delta function, δ'(x), but struggled to derive the second (1/a) term. Ultimately, the poster resolved the issue independently and no further responses were needed.

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rocky3321
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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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I was able to figure it out, so you do not have to reply to this thread.
 

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