Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the derivative of f (x) = (1+x) ? [ Select ] b) What is f" (x)? [ Select] c) What is fl" (x)? [ Select ] The definition of the 3rd Maclaurin polynomial is: f" (0) p3 (x) = f (0) + f' (0) x + p" (0) 23 Therefore we should evaluate the derivatives and the function at z = 0. d) What is f (0)? [ Select ] e) What is f' (0)? [ Select] f) What is f" (0)? [ Select] g) What is f" (0)? [ Select ] h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ] Option I. p3 (2) = 1+ + - Option II. ps (2) %31+ 을0+222-3 Option III. p3 (x) = 2 + Option IV. p3 (x) = 1+. Ontion (m) 3. 3 3 3

Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the derivative of f (x) = (1+x) ? [ Select ] b) What is f" (x)? [ Select] c) What is fl" (x)? [ Select ] The definition of the 3rd Maclaurin polynomial is: f" (0) p3 (x) = f (0) + f' (0) x + p" (0) 23 Therefore we should evaluate the derivatives and the function at z = 0. d) What is f (0)? [ Select ] e) What is f' (0)? [ Select] f) What is f" (0)? [ Select] g) What is f" (0)? [ Select ] h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ] Option I. p3 (2) = 1+ + - Option II. ps (2) %31+ 을0+222-3 Option III. p3 (x) = 2 + Option IV. p3 (x) = 1+. Ontion (m) 3. 3 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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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