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Let f(x) = .5x+sin(2x), 0≤x≤ 2π a. Find f(x) and f" (x). Show your work. b. Solve f'(x) = 0. Show c. Solve f(x)=0. Show your work.

Let f(x) = .5x+sin(2x), 0≤x≤ 2π a. Find f(x) and f" (x). Show your work. b. Solve f'(x) = 0. Show c. Solve f(x)=0. Show your work.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Let f(x)=.5x+sin(2x), 0≤x≤ 2π a. Find f'(x) and f" (x) . b. Solve f'(x) = 0. Show your work. c. Solve f"(x)=0. Show your work. d. Graph f(x), f'(x) and f″ (x). Use different colors. e. Label the relative extremes A and the inflection points B on the graph of f(x). Label the corresponding points A and B on the graph of f'(x) . Label the corresponding points A”" and B" on the graph of_ƒ” (x).
Transcribed Image Text:1. Let f(x)=.5x+sin(2x), 0≤x≤ 2π a. Find f'(x) and f" (x) . b. Solve f'(x) = 0. Show your work. c. Solve f"(x)=0. Show your work. d. Graph f(x), f'(x) and f″ (x). Use different colors. e. Label the relative extremes A and the inflection points B on the graph of f(x). Label the corresponding points A and B on the graph of f'(x) . Label the corresponding points A”" and B" on the graph of_ƒ” (x).
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