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# Solution: Power series for derivativesa. Differentiate the ISBN: 9780321570567 2

## Solution for problem 24E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Problem 24E

Power series for derivativesa. Differentiate the Taylor series about 0 for the following functions.b. Identify the. function represented by the differentiated series.c. Give the interval of convergence of the power series for the derivative.f(x) = sin(x2)

Step-by-Step Solution:

Solution 24EStep 1:In this problem we have to find the power series for derivatives.a. Differentiate the Taylor series about 0 for the following functions.We have The taylor series for with center 0 is Differentiate, we get Step 2:b. Identify the function represented by the differentiated series.The differentiated series is which is Therefore the function represented by the differentiated series of is .

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##### ISBN: 9780321570567

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