How do you find the points of the derivative of a function just from the graph of the function?

It wants me to find f'(0), f'(1), etc just from the graph-thanks

1 answer

If all you have to work with is the graph, draw a tangent straight line toi that curve at the indicated point (0 or 1) and measure the slope of that line.

You can also use a numerical method, computing the change in f(x) at two nearby points on each side of the point in question, and dividing by the difference in x, but it will probably be less accurate.
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