(a) Differentiate the Maclaurin polynomial of degree 7 for f(x) = sin(x) and compare the result with the Maclaurin polynomial of degree 6 for g(x) = cos(x). P7(x) = P'7(x) = (b) Differentiate the Maclaurin polynomial of degree 8 for f(x) = cos(x) and compare the result with the Maclaurin polynomial of degree 7 for g(x) = sin(x) Q8(x) = Q's(x) = (c) Differentiate the Maclaurin polynomial of degree 6 for f(x) = ex. R6(x) = R's(x) =
(a) Differentiate the Maclaurin polynomial of degree 7 for f(x) = sin(x) and compare the result with the Maclaurin polynomial of degree 6 for g(x) = cos(x). P7(x) = P'7(x) = (b) Differentiate the Maclaurin polynomial of degree 8 for f(x) = cos(x) and compare the result with the Maclaurin polynomial of degree 7 for g(x) = sin(x) Q8(x) = Q's(x) = (c) Differentiate the Maclaurin polynomial of degree 6 for f(x) = ex. R6(x) = R's(x) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(a) Differentiate the Maclaurin polynomial of degree 7 for f(x) = sin(x) and compare the result with the Maclaurin polynomial of degree 6 for g(x) = cos(x).
P7(x) =
P'7(x) =
(b) Differentiate the Maclaurin polynomial of degree 8 for f(x) = cos(x) and compare the result with the Maclaurin polynomial of degree 7 for g(x) = sin(x)
Q8(x) =
Q's(x) =
(c) Differentiate the Maclaurin polynomial of degree 6 for f(x) = ex.
R6(x) =
R's(x) =
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