(a) Graph the function f (x) = sin x - 1/1000 sin(1000x) in the What slope does...
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(a) Graph the function f (x) = sin x - 1/1000 sin(1000x) in the
What slope does the graph appear to have at the origin?
(b) Zoom in to the viewing window [-0.4, 0.4] by [-0.25, 0.25] and estimate the value of f′(0). Does this agree with your answer from part (a)?
(c) Now zoom in to the viewing window [-0.008, 0.008] by [-0.005, 0.005]. Do you wish to revise your estimate for f′(0)?
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