1 7. Define Taylor's Theorem and use it to find a second order approxima- tion to (1.1)¹/4. Suppre f(x) has a +1 devivatues at a het x be some other point. Taylo's Theorem saya: 2 • point. x=a. f(x) = f(a)+ f'(a)(x-a) + f "l(a)(x-²) + - + f(a)(x-²) + R₂ 2! n! To approximate of justure first 3 termand igne the rest. ntl R₁ = f(c)(x-a)" for some (n+1)! for some cin [a, x] or [24, α] depending xsa пна. Students may not see this so igine.
1 7. Define Taylor's Theorem and use it to find a second order approxima- tion to (1.1)¹/4. Suppre f(x) has a +1 devivatues at a het x be some other point. Taylo's Theorem saya: 2 • point. x=a. f(x) = f(a)+ f'(a)(x-a) + f "l(a)(x-²) + - + f(a)(x-²) + R₂ 2! n! To approximate of justure first 3 termand igne the rest. ntl R₁ = f(c)(x-a)" for some (n+1)! for some cin [a, x] or [24, α] depending xsa пна. Students may not see this so igine.
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 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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