Here is an alternative way to evaluate higher derivatives of a function f that may save time.
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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(k) (a) = k! multiplied by the coefficient of (x - a)k. Use this idea to evaluate f(3) (0) and f(4) (0) for the following functions. Use known series and do not evaluate derivatives.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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