The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is called the quadratic approximation of f at x = a. Find the (a) linearization (Taylor polynomial of order 1) and (b) the quadratic approximation off at x = 0. f(x) = In ( cos x)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is called the quadratic
approximation of f at x = a. Find the (a) linearization (Taylor polynomial of order 1) and (b) the quadratic
approximation off at x = 0.
f(x) = In ( cos x)
Transcribed Image Text:The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is called the quadratic approximation of f at x = a. Find the (a) linearization (Taylor polynomial of order 1) and (b) the quadratic approximation off at x = 0. f(x) = In ( cos x)
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