Let f be a periodic function with period 2 which is given on the interval (-1,1) by f(x)=x. Find all distributional derivatives D_{x}^{m} f.

Anonym

Anonym

Answered question

2021-05-07

Let f be a periodic function with period 2 which is given on the interval (-1,1) by f(x)=x. Find all distributional derivatives Dxmf.

Answer & Explanation

Velsenw

Velsenw

Skilled2021-05-08Added 91 answers

Step 1
Given that f is a periodic functions with period 2.
The periodic function is in the interval (-1,1).
And f(x)=x
Step 2
By the definition of distributional derivatives,
Dxf=1
Dx2f=0
Dx3f=0
..
..
Dxmf=0

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