I see your point. A sample and hold is another way, as you suggest. Another would be to use a much higher resolution ADC, like a Delta-Sigma converter. But beware the sampling speed, and the system noise !
You say you want to measure the inductance of a coil, presumably by applying a constant current, and measuring the voltage at two times. Any other special requirements ? Or can you afford just to wait longer, hence getting a bigger voltage difference.
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