Antiderivatives

[chjopl]

Given the values of the derivative f '(x) in the table and that f(0) = 100, estimate f(x) for x=2,4,6.

x 0 2 4 6
f ' (x) 17 15 23 25

[Galileo]

Draw a graph of f'(x).
The area under the graph from 0 to x plus f(0)=100 will give f(x).

[arildno]

Approximate f(x) with straight line segments, where the values of f'(x) are tells you the steepness of each line segment.