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This video explains how to 16.3 - Computing derivatives with the FFT. A solved problem that determines the increase in the computational time for computing the DFT This video explains how to calculate the frequency axis of a signal that has been Fourier transformed. MATLAB code is provided.

In backward difference, there is a slight mistake. That is. It should be f(2.9) instead of f(3.1). Everything else is correct!

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