(a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ + 8)*. (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the point (11,-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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(a) Use the Second Derivative Test to find the local
extreme values of the function
f(x) = (x' + 8)*.
(b) Find the values of a and b so that the function
f(x) = x2 + ax + b has a local maximum at the
point (11,-3).
%3D
Transcribed Image Text:(a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x' + 8)*. (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the point (11,-3). %3D
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