I know I haven't entered the formulae with the proper syntax, but I'm extremely exhausted at the time of posting, so please just read it and give advice, forgiving me this once for not using proper form (it's basically in latex code format).(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Show [itex]f(x)\frac{d}{dx}\delta(x) = f(0)\frac{d}{dx}\delta(x)-f'(0)\delta(x)[/itex]

2. Relevant equations

[tex]\delta(x)\intf(x)dx = \int f(x)\delta(x)dx = f(0)[/tex]

[tex](f',\phi):=(f,-\phi ')[/tex]

3. The attempt at a solution

[tex]f(0)\delta'(x) - f'(0)\delta(x)[/tex]

[tex]=\delta'(x)\intf(x)\delta(x)dx-\delta(x)\intf'(x)\delta(x)dx[/tex]

[tex]=...[/tex]

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# Homework Help: Delta Function Identity

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