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Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 3 / 14A / b / Solution

The Fourier transform of a derivative gives

g (k) = p^{'} (k) = ik p (k) .

Hence

p (k) = \frac{g ( k )}{ik}

for

k \neq = 0

. The assumed existence of the transforms excludes an arbitrary nonzero constant in

p

.

Solved by gpt-5.6-sol high.

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