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4. f(x) = x + sin x, 0 < x < 2π 5. V(0) = sin² 0,-/2 <02

4. f(x) = x + sin x, 0 < x < 2π 5. V(0) = sin² 0,-/2 <02

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please only help in answering Problems 4 and 5. If you could explain how to do the problem with words, that would be very helpful for me. Thank you. 

In Problems 1-10, identify the critical points. Then use (a) the First Derivative Test and (if possible) (b) the Second Derivative Test to decide which of the critical points give a local maximum and which give a local minimum. 1. f(x) = x³ - 6x² + 4 2. f(x) = x³ - 12x + # TT 3. f(0) = sin 20,0 < 0 < 4 4. f(x) = x + sin x, 0 < x < 2π 5. V(0) sin² 0,-/2 < 0 < T/2
Transcribed Image Text:In Problems 1-10, identify the critical points. Then use (a) the First Derivative Test and (if possible) (b) the Second Derivative Test to decide which of the critical points give a local maximum and which give a local minimum. 1. f(x) = x³ - 6x² + 4 2. f(x) = x³ - 12x + # TT 3. f(0) = sin 20,0 < 0 < 4 4. f(x) = x + sin x, 0 < x < 2π 5. V(0) sin² 0,-/2 < 0 < T/2
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