## Differentiation Theorem Dual

**Theorem:**Let denote a signal with Fourier transform , and let

(B.6) |

denote the derivative of with respect to . Then we have

(B.7) |

where denotes the Fourier transform of .

*Proof:*We can show this by direct differentiation of the definition of the Fourier transform:

(B.8) |

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Differentiation Theorem