6.2.5 Differentiate the given series expansion of f term-by-termto obtain the corresponding series expansion for thederivative of f.If f(x)=11 + 2xf'(x) = Σ= 1n ==∞Σ(-1)"2" xnn=0

It is given that ; f(x) = 11+2x = ∑n=0∞-1n2nxn We have to determine the series expansion for f'(x).

Answered: Differentiate the given series…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. If f(x) = = 1 1 + 2x f'(x) = Σ n=1 = Σ (-1)"2"x" n=0