(a) Differentiate the series -4 1 -cos ((2k + 1)Tx) =0 (2k + 1)? term by term and plot various partial sums for that series on [0, 1]. How does this compare to the derivative of f(æ) = x - - on that interval? (b) Differentiate the series you obtained in part a and plot various partial sums of that on [0, 1]. How does this compare to the second derivative of f(x) = x - on that interval?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(a) Differentiate the series
-4
1
-cos ((2k + 1)Tx)
k=0 (2k + 1)2
term by term and plot various partial
sums for that series on [0, 1]. How does
this compare to the derivative of
f(x) = x
- - on that interval?
(b) Differentiate the series you obtained
in part a and plot various partial sums of
that on [0, 1]. How does this compare to
the second derivative of f(x) = x - on
that interval?
Transcribed Image Text:(a) Differentiate the series -4 1 -cos ((2k + 1)Tx) k=0 (2k + 1)2 term by term and plot various partial sums for that series on [0, 1]. How does this compare to the derivative of f(x) = x - - on that interval? (b) Differentiate the series you obtained in part a and plot various partial sums of that on [0, 1]. How does this compare to the second derivative of f(x) = x - on that interval?
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