Differentiator

Circuit:

Analysis:

As usual, the voltage of the opamp negative input is driven to 0 by feedback. The current is

$1\frac{dV_{in}}{dt} = \frac{-V_{out}}/0.25$
$V_{out} = -2.5\frac{dV_{in}}{dt}$

Simulation:

Note that 90 degree out of phase, this is caused by the differentiation.

LTSpice:

The model can be downloaded here.