Find the derivative of the following function using the limiting process. 
Definitions:
Poisson Distribution
A statistical distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming these events occur with a known constant rate and independently of the time since the last event.
M/M/1 Queue
A model describing a queueing scenario with a single server, where arrivals are determined by a Poisson process, and service times have an exponential distribution.
Units in the System
The total number of items or entities currently being processed or within a particular process or system at any given time.
Poisson Distribution
A statistical distribution describing the probability of a given number of events happening in a fixed interval of time or space, assuming events happen independently at a constant rate.
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