a) Let f(x) = sin x + cos x, 0≤x≤ 2π. 1) Find the intervals on which f is increasing or decreasing. 2) Find the local maximum and minimum values of f. 3) Find the intervals of concavity and the inflections points f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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a)
Let
f(x) = sin x + cos x,
0≤x≤ 2π.
1)
Find the intervals on which f is increasing or decreasing.
2)
Find the local maximum and minimum values of f.
3)
Find the intervals of concavity and the inflections points f.
Transcribed Image Text:a) Let f(x) = sin x + cos x, 0≤x≤ 2π. 1) Find the intervals on which f is increasing or decreasing. 2) Find the local maximum and minimum values of f. 3) Find the intervals of concavity and the inflections points f.
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