Derivative of Dirac Delta - Fourier Transform - Time Differentitation Property

by p75213
Tags: delta, derivative, differentitation, dirac, fourier, property, time, transform
p75213 is offline
Aug18-12, 05:58 AM
P: 89
1. The problem statement, all variables and given/known data

I am using the time differentiation property to find the fourier transform of the following function:

2. Relevant equations


3. The attempt at a solution

Can somebody explain what the derivative of the dirac delta function is?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
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gabbagabbahey is offline
Aug18-12, 06:16 AM
HW Helper
gabbagabbahey's Avatar
P: 5,004
The easiest way to see what [itex]\frac{d}{dx}\delta(x)[/itex] is, is to multiply it by a simple test function like [itex]x[/itex] and Integrate over any interval enclosing the origin, using integration by parts.

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