Question: For each function in Problems, approximate f' (a) in the following ways. (a) Use f (a + h) - f (a)/h with h = 0.0001.

For each function in Problems, approximate f' (a) in the following ways.

(a) Use f (a + h) - f (a)/h with h = 0.0001.

(b) Graph the function on a graphing calculator. Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see.

f' (4) for f (x) = (2x - 1)3

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