Consider the function f(x) = -6x² + 8x – 5.f(x) is increasing on the interval (-00, A] and decreasing on the interval [A, ∞) where A %3D is the critical number. Find A At x = A, does f(x) have a local min, a local max, or neither? You should be aware that there are two different tests that may work. Either use the Second Derivative test and look at concavity at A, or use the First Derivative test and examine the sign table. Type in your answer as LMIN, LMAX, or NEITHER.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(x) = -6x² + 8x – 5.f(x) is increasing on
the interval (-00, A] and decreasing on the interval [A, ∞) where A
%3D
is the critical number.
Find A
At x = A, does f(x) have a local min, a local max, or neither? You
should be aware that there are two different tests that may work. Either
use the Second Derivative test and look at concavity at A, or use the First
Derivative test and examine the sign table.
Type in your answer as LMIN, LMAX, or NEITHER.
Transcribed Image Text:Consider the function f(x) = -6x² + 8x – 5.f(x) is increasing on the interval (-00, A] and decreasing on the interval [A, ∞) where A %3D is the critical number. Find A At x = A, does f(x) have a local min, a local max, or neither? You should be aware that there are two different tests that may work. Either use the Second Derivative test and look at concavity at A, or use the First Derivative test and examine the sign table. Type in your answer as LMIN, LMAX, or NEITHER.
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