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

## Solution for problem 23E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Problem 23E

Power series for derivatives

a. 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) = In (1 + x)

Step-by-Step Solution:

Solution 23E

Step 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 .

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321570567

Since the solution to 23E from 9.4 chapter was answered, more than 257 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “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) = In (1 + x)” is broken down into a number of easy to follow steps, and 39 words. This full solution covers the following key subjects: Series, power, give, differentiate, differentiated. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 23E from chapter: 9.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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