Analog Electronics
Generally, the gain of a transistor amplifier falls at high frequencies due to the

Internal Capacitance of the device
Coupling capacitor at the output
Skin effect
Coupling capacitor at the input

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Analog Electronics
In an OP-amp differentiator

Polarity of input and output is the same
Output occurs when input is finite and constant
The amplitude of output is proportional to input
The amplitude of output is proportional to rate of change of input

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