Computing the derivative of f 1x2 _ e-x a. Use the

Chapter 3, Problem 78

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Computing the derivative of f 1x2 _ e-x a. Use the definition of the derivative to show that d dx 1e-x2 = e-x # lim hS0 e-h - 1 h . b. Show that the limit in part (a) is equal to 1. 1Hint: Use the facts that lim hS0 eh - 1 h = 1 and ex is continuous for all x.2 c. Use parts (a) and (b) to find the derivative of f 1x2 = e-x.

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