d 2. Given that g(x)= 1 dx 1+3x 3 (1+3x)² term-by-term. 3 (1+3x)²' find a power series representation for by first representing f(x): - 1 1+3x as a power series, then differentiating

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Given that
d 1
4- (1 + 3x) = (1 + 3x)²
==
dx1+3x
3
(1+3x)²
g(x) = -
term-by-term.
find a power series representation for
by first representing f(x)=
1
1+3x
as a power series, then differentiating
Transcribed Image Text:2. Given that d 1 4- (1 + 3x) = (1 + 3x)² == dx1+3x 3 (1+3x)² g(x) = - term-by-term. find a power series representation for by first representing f(x)= 1 1+3x as a power series, then differentiating
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