Question: All calculus students know that the derivative of a function f at x can be defined as f'(x) = lim h0 f(x+h) - f(x)

All calculus students know that the derivative of a function f at

All calculus students know that the derivative of a function f at x can be defined as f'(x) = lim h0 f(x+h) - f(x) h Choose your favorite function f, nonzero number x, and computer or calculator. Generate approxi- mations f(x) to f'(x) by f(x) = f(x+10") f(x) 10-" for n = 1, 2,..., 20, and describe what happens. ==== Problem 27 from page 183. taking f(x) = ex and x0 = 1.

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