(a) Use the Second Derivative Test to findthe local extreme values of the functionf(x) = (x³ – 8)*.(b) Find the values of a and b so that thefunction f(x) = x² + ax + b has a localmaximum at the point (7,-6).

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(a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ – 8)*.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

(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 (7,-6).

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