# Derivative of Dirac Delta - Fourier Transform - Time Differentitation Property

by p75213
Tags: delta, derivative, differentitation, dirac, fourier, property, time, transform
 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 f(t)=2r(t)-2r(t-1)-2u(t-2) 3. The attempt at a solution f'(t)=2u(t)-2u(t-1)-2δ(t-2) f''(t)=2δ(t)-2δ(t-1)-??????? 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
 HW Helper P: 5,004 The easiest way to see what $\frac{d}{dx}\delta(x)$ is, is to multiply it by a simple test function like $x$ and Integrate over any interval enclosing the origin, using integration by parts.

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