I need help with this problem Find the nth Taylor polynomial for the function, centered at c.f(x) = x+cos x, n = 2, C = TStep 1If f has nth derivatives at C,thenf"(c)(x - c)² f "''(c)(x - c)³Pn(x) = f(c) + f '(c)(x − c) ++2!3!is called the nth Taylor polynomial for f at c.Find the following derivatives, which we need to find the polynomial.f(x) = x4 cos xf'(x) =f "(x) =+ ... +f "(c)(x - c)"n!

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Answered: Find the nth Taylor polynomial for the…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 28E

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Find the nth Taylor polynomial for the function, centered at c. f(x) = xªcos x, n = 2, C = T