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Consider that a sawtooth waveform is the summation of the infinite series of sine waves with amplitude equal to 1 over the multiplier of the frequency. Now you can take the derivative, or at least approximate it. You will find that the derivative of a sawtooth is a pulse, in the ideal case, a pulse with infinite amplitude and zero width.

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Q: How do you take the derivative of a sawtooth waveform?
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