Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. 8 1 If f(x) - - Σ(-1)"5"x" 1+ 5x n=0 8 f'(x) = Σ n=1 ES US

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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Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion
for the derivative of f.
8
1
If f(x) =
-
-
Σ(-1)"5"x"
1+ 5x
n=0
8
f'(x) = Σ
n=1
O
B
B ES
US
esc
3
e
JL
$
4
5
t
g
Y
h
O
8
نات
K
Transcribed Image Text:Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. 8 1 If f(x) = - - Σ(-1)"5"x" 1+ 5x n=0 8 f'(x) = Σ n=1 O B B ES US esc 3 e JL $ 4 5 t g Y h O 8 نات K
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