So I had to construct this (practical differentiation) and deduce the bandwidth for which the differentiation occurs. We also had to deduce for what higher frequencies it turns into an inverting amplifier. I am very confused by what I am looking at because it doesnt look correct. The top is not anywhere near flat enough. However, I was playing around with it, and changing the capacitor to 100uF corrected this. The OP amp in question is LM324, with a unity gain of 1Mhz.
This is the frequency response of the circuit. The amplification is in DB. Am I correct in thinking that the differentiation occurs from 112.179 hz to 27.295k Hz? And that the max amplification is at 1.7507k Hz. Lastly, that the bandwidth is 27.295k - 112.179 = 27182.821 hz? It turns into an inverting amplifier at frequencies greater than 27.295k.
and without R3 ...