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11 Jun 2020

Higher-Order Derivatives Polynomials of what degree satisfy Explain your reasoning.

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Joram Guingguing
Joram GuingguingLv10
2 Jul 2020

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Related questions

Finding Polynomials

(a) Find the polynomial whose value and slope agree with the value and slope of at the point .

(b) Find the polynomial whose value and first two derivatives agree with the value and first two derivatives of at the point . This polynomial is called the second-degree Taylor polynomial of .

(c) Complete the table comparing the values of . What do you observe?

x -1.0 -0.1 -0.001 0 0.001 0.1 1.0
cos x              
P 2 ( x )              

(d) Find the third-degree Taylor polynomial of f ( x ) = sin x   at   x = 0 .

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