Suppose that f(x) is a function with f(100) = 35 and f'(x) = 3. estimate f (102)

The value of is approximately 41.

In this question we should use the concepts of secant line and derivative. Derivatives can be estimated by using the following approximation:

, (1)

Where:

If we know that , , and , then is:

The value of is approximately 41.

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