Consider the function f(x) = In(x² + 1). (a) Find f' and f". (b) Find the critical number(s) of f. Use the first or second derivative test to classify each critical number as a local maximum, local minimum, or neither. (c) Find the x-coordinates of the point(s) of inflection of f. On what interval(s) is f concave upward?
Consider the function f(x) = In(x² + 1). (a) Find f' and f". (b) Find the critical number(s) of f. Use the first or second derivative test to classify each critical number as a local maximum, local minimum, or neither. (c) Find the x-coordinates of the point(s) of inflection of f. On what interval(s) is f concave upward?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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