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

###### Question details

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?