We now know what derivatives are and how to find them, but now, suppose we know the rate of change (F) of the population (f), and we want to find what the population will be at some point in time. What we have to do is find a function F whose derivative is f. This is known as the antiderivative, and we define it formally as a function F is called an antiderivative of f on 
if 
for all 
.
Suppose we have a function , then (where ...
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