R-C circuit differentiator is classic with passive components that can diff erentiate voltage signal. For step input R-C circuit differentiator makes s pikes on the output, so it differentiate step input signal better then the op-amp differentiator circuit. Now, there is a new tutorial
and online simulation
I do not agree that the R-C circuit differentiator gives better performance than the op-amp version. See
The op-amp input is at virtual ground so that the current through the capacitor is very close to i = C * dB/dt. The input resistance is close to the feedback resistance divide by the high gain. The output, however, is as if the load resistor wer the full value of the feedback resistor.
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