Analog Electronics
The early effect in a bipolar junction transistor is caused by

Fast turn-on
Large emitter-base forward bias
Large collector-base reverse bias
Fast turn-off

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Analog Electronics
In an OP-amp differentiator

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

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