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Question: a choose a differentiable function that is not too hard...

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a) Choose a differentiable function that is not too hard and not too easy (e.g f(x) = x3 or f (x) = sin x, or anything of this caliber). b)Graph the function in the scales from x from 2−k,2+k and y between f(2)−k,f(2)+k for k = 1, 0.1, 0.01, 0.001. You can use wolfram alpha for this this. What the values of k are doing is zooming in. What do you observe? How does the graph look as we get closer? c)What is the meaning of the derivative f′(2) with regard to the experiment above?
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