(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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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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)
point (11,-3).
= x + ax + b has a local maximum at the
Question 2 (
Consider the function f(x)
x2 -1
(a) Find the intercepts of the graph of f (if any).
(b) Find the intervals on which f is increasing or
decreasing and the local extreme values of f.
(c) Find the intervals of concavity and the points
of inflection of f.
(d) Sketch the graph of f.
Transcribed Image Text:(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) point (11,-3). = x + ax + b has a local maximum at the Question 2 ( Consider the function f(x) x2 -1 (a) Find the intercepts of the graph of f (if any). (b) Find the intervals on which f is increasing or decreasing and the local extreme values of f. (c) Find the intervals of concavity and the points of inflection of f. (d) Sketch the graph of f.
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