This page will show us how to get the Fourier Transform of an arbitrary function *g(t)* multiplied by *t*.
We just need to ensure that *G(f)* exists, and this result holds.
This can be done with a simple trick involving interchanging the order of integration and differentiation. Start
with a function *g(t)* and it's Fourier Transform *G(f)* and take the derivative with respect to frequency:

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[Equation 1] |

Hence, we can re-arrange terms in Equation [1] to get the final result:

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[Equation 2] |

It's that simple! This can be used to derive other Fourier Transforms.

We can use the same trick to find the Fourier Transform for *t^n * h(t)*. Just assume *n* is a positive integer, and
that the Fourier Transform of *h(t)* is *H(f)*.
Then:

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[Equation 3] |

And the result follows:

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[Equation 4] |