2x Let f(x) = Below, you are given the first and second derivatives of f; you need not calculate them x² + 5 yourself. f'(x): -2(x² – 5) (x2 + 5)2 4.x(x² – 15) (x² + 5)3 and f"(x) (a) On what intervals is f increasing? decreasing? Make it clear which answers are which, and justify your answer by including an appropriate sign chart as part of your work. (b) Find all local maximum and local minimum values of f, giving both x and y coordinates in each case. Please make it clear which answers are which.
2x Let f(x) = Below, you are given the first and second derivatives of f; you need not calculate them x² + 5 yourself. f'(x): -2(x² – 5) (x2 + 5)2 4.x(x² – 15) (x² + 5)3 and f"(x) (a) On what intervals is f increasing? decreasing? Make it clear which answers are which, and justify your answer by including an appropriate sign chart as part of your work. (b) Find all local maximum and local minimum values of f, giving both x and y coordinates in each case. Please make it clear which answers are which.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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