Solved: 7174. Derivative trick Here is an alternative way
Chapter 9, Problem 71(choose chapter or problem)
7174. Derivative trick Here is an alternative way to evaluate higher derivatives of a function f that may save time. Suppose you can find the Taylor series for f centered at the point a without evaluating derivatives (for example, from a known series). Explain why f 1k21a2 = k! multiplied by the coefficient of 1x - a2k. Use this idea to evaluate f 132102 and f 142102 for the following functions. Use known series and do not evaluate derivatives. f 1x2 = ecos x
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