If all the derivatives of f are defined, and f(3) = 2, ƒ' (3) = −1, f" (3) = 6, ƒ"" (3) = 15 The third degree Taylor of f about x = 3 is : ○2-(x − 3) + 3(x − 3)² + 4(x − 3)³ · 2x+6x² + 12x³ ○2-(x − 3) + 6(x − 3)² +12(x − 3)³ 0 ○ 2 − (x − 3) + 3(x − 3)² + 2(x − 3)³

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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If all the derivatives of f are defined, and
ƒ(3) = 2, ƒ¹ (3) = −1, ƒ″ (3) = 6, ƒ” (3) = 12.
The third degree Taylor of f about x = 3 is
2 − (x − 3) + 3(x − 3)² + 4(x − 3)³
2x+6x² + 12x³
02
2 − (x − 3) + 6(x − 3)² + 12(x − 3)³
(x − 3) + 3(x − 3)² + 2(x − 3)³
02-
Transcribed Image Text:If all the derivatives of f are defined, and ƒ(3) = 2, ƒ¹ (3) = −1, ƒ″ (3) = 6, ƒ” (3) = 12. The third degree Taylor of f about x = 3 is 2 − (x − 3) + 3(x − 3)² + 4(x − 3)³ 2x+6x² + 12x³ 02 2 − (x − 3) + 6(x − 3)² + 12(x − 3)³ (x − 3) + 3(x − 3)² + 2(x − 3)³ 02-
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