# Toronto Math Forum

## APM346-2015S => APM346--Home Assignments => HA10 => Topic started by: Victor Ivrii on March 26, 2015, 03:10:41 PM

Title: HA10 Problem 3
Post by: Victor Ivrii on March 26, 2015, 03:10:41 PM
Consider distributions now. Calculate right from the definition

a. $x^3\delta''(x)$;
b. $x^2\delta''(x)$;
c. $x^2\delta '''(x)$.

The results may be written through $\delta$-function or its derivatives of the smallest possible order.
Title: Re: HA10 Problem 3
Post by: Chaojie Li on April 02, 2015, 08:32:49 PM
Mark is completely correct. Chaojie gave a correct answer to b, correct but unfinished to a (he got $2x\delta$ but this is just $0$â€”see Mark's solution)