1. Let f(x) cos2(x) - 2 sin(x) for 0 27 x (a) Compute f'(x) and use it to find intervals where f(x) is increasing or decreasing for x in [0, 2m (b) Find the local extrema of f(x) for x in [0, 27]. Explain (c) Compute f"(x) and use it to find the intervals of concavity and inflection points of f(x) for in [0, 27

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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1. Let f(x) cos2(x) - 2 sin(x) for 0
27
x
(a) Compute f'(x) and use it to find intervals where f(x) is increasing or decreasing for x in
[0, 2m
(b) Find the local extrema of f(x) for x in [0, 27]. Explain
(c) Compute f"(x) and use it to find the intervals of concavity and inflection points of f(x)
for in [0, 27
Transcribed Image Text:1. Let f(x) cos2(x) - 2 sin(x) for 0 27 x (a) Compute f'(x) and use it to find intervals where f(x) is increasing or decreasing for x in [0, 2m (b) Find the local extrema of f(x) for x in [0, 27]. Explain (c) Compute f"(x) and use it to find the intervals of concavity and inflection points of f(x) for in [0, 27
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