### Concept (1)

The instantaneous rate of change is the rate of change of a function at a certain time. If given the function values before, during, and after the required time, the instantaneous rate of change can be estimated. While estimates of the instantaneous rate of change can be found using values and times, an exact calculation requires using the derivative function. This rate of change is not the same as the average rate of change.

### Sample Problems (3)

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###### Problem 1
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream by computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph.
###### Problem 2
How to estimate the instantaneous rate of change of a quantity by measuring the slopes of tangent lines on a graph of quantity vs. time.
###### Problem 3
How to estimate instantaneous rate of decrease of a population when population and time are given in a table.