(adsbygoogle = window.adsbygoogle || []).push({}); Derivative Using Dirac Delta Function

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

Let [tex]\theta[/tex](x) be the step function:

[tex]\theta[/tex](x) be equivalent to

1, if x > 0

0, if x [tex]\leq[/tex] 0

Show that [tex]\frac{d \theta }{dx}[/tex] = [tex]\delta[/tex](x)

2. Relevant equations

In the previous portion I was able to prove

x [tex]\frac{d}{dx}[/tex] ([tex]\delta[/tex](x))= -[tex]\delta[/tex](x)

3. The attempt at a solution

I thought the problem was a heavyside problem but upon closer inspection, I noticed that on the heavyside step function it is 1 when x [tex]\geq[/tex] 0.

So how do I resolve this? Is there a way to change it so that it looks like a heavyside function, because that makes the problem much more convenient.:rofl:

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# Homework Help: Derivative of the Dirac Delta

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