Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 1.5, Problem 1.46P

(a) Show that x d d x ( δ ( x ) ) = δ ( x ) .
[Hint: Use integration by parts.]
(b) Let θ ( x ) be the step function: θ ( x ) = { 1 , if x > 0 0 , if x 0 } .    (1.95)
Show that d θ / d x = δ ( x ) .

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