Analog Electronics
The voltage follower has a

  large closed - loop output impedance.
  small open - loop voltage gain.
  closed - loop bandwidth of zero.
  closed - loop voltage gain of unity.

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Analog Electronics
In an OP-amp differentiator

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
Polarity of input and output is the same

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