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A graphing calculator is recommended. Let f(x) = 4ex cos(x). (a) Find f'(x) and f'(x). f'(x) = 4e cos x 4e* cos x - 4e sin a f"(x)=-8e sin x (b) Check to see that your answers to part (a) are reasonable by graphing f, f', and f'. y 150 125 100 75 50 f" 25 -π -- KIN 2 -25 2 -50 -75 -100 -125 -150 E Χ -π -- KIN y 150 125 100 75 50 25 TT 2 -25 2 f" -50 -75 -100 -125 -150- x -π y 150 125 100 75 50ㅏ 25 25 f x KIN 2 -25 KIN 2 f -50 -75 -100 -125 -150 i -π -- y 150 125 f 100 75 50 25 KIN 2 -25 KIN 2 f" -50 -75 -100 -125 -150 x i Describe the relationship between the three graphs. Note that f' = 0 where f has a relative minimum or maximum and f'' = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f' is negative when f' is decreasing. Note that f' = 0 where f has a maximum and f" = O where f' has a maximum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing. Note that f' = 0 where f has a relative minimum or maximum and f" = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f" is positive when f' is decreasing. ○ Note that f' = 0 where f has a relative minimum or maximum and f' = 0 where f' has a relative minimum or maximum. Also note that f" is negative when f is decreasing and f' is negative when f" is decreasing. Note that f' = 0 where f has a minimum and f" = 0 where f' has a minimum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing.

A graphing calculator is recommended. Let f(x) = 4ex cos(x). (a) Find f'(x) and f'(x). f'(x) = 4e cos x 4e* cos x - 4e sin a f"(x)=-8e sin x (b) Check to see that your answers to part (a) are reasonable by graphing f, f', and f'. y 150 125 100 75 50 f" 25 -π -- KIN 2 -25 2 -50 -75 -100 -125 -150 E Χ -π -- KIN y 150 125 100 75 50 25 TT 2 -25 2 f" -50 -75 -100 -125 -150- x -π y 150 125 100 75 50ㅏ 25 25 f x KIN 2 -25 KIN 2 f -50 -75 -100 -125 -150 i -π -- y 150 125 f 100 75 50 25 KIN 2 -25 KIN 2 f" -50 -75 -100 -125 -150 x i Describe the relationship between the three graphs. Note that f' = 0 where f has a relative minimum or maximum and f'' = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f' is negative when f' is decreasing. Note that f' = 0 where f has a maximum and f" = O where f' has a maximum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing. Note that f' = 0 where f has a relative minimum or maximum and f" = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f" is positive when f' is decreasing. ○ Note that f' = 0 where f has a relative minimum or maximum and f' = 0 where f' has a relative minimum or maximum. Also note that f" is negative when f is decreasing and f' is negative when f" is decreasing. Note that f' = 0 where f has a minimum and f" = 0 where f' has a minimum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing.

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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A graphing calculator is recommended. Let f(x) = 4ex cos(x). (a) Find f'(x) and f'(x). f'(x) = 4e cos x 4e* cos x - 4e sin a f"(x)=-8e sin x (b) Check to see that your answers to part (a) are reasonable by graphing f, f', and f'. y 150 125 100 75 50 f" 25 -π -- KIN 2 -25 2 -50 -75 -100 -125 -150 E Χ -π -- KIN y 150 125 100 75 50 25 TT 2 -25 2 f" -50 -75 -100 -125 -150- x -π y 150 125 100 75 50ㅏ 25 25 f x KIN 2 -25 KIN 2 f -50 -75 -100 -125 -150 i
Transcribed Image Text:A graphing calculator is recommended. Let f(x) = 4ex cos(x). (a) Find f'(x) and f'(x). f'(x) = 4e cos x 4e* cos x - 4e sin a f"(x)=-8e sin x (b) Check to see that your answers to part (a) are reasonable by graphing f, f', and f'. y 150 125 100 75 50 f" 25 -π -- KIN 2 -25 2 -50 -75 -100 -125 -150 E Χ -π -- KIN y 150 125 100 75 50 25 TT 2 -25 2 f" -50 -75 -100 -125 -150- x -π y 150 125 100 75 50ㅏ 25 25 f x KIN 2 -25 KIN 2 f -50 -75 -100 -125 -150 i
-π -- y 150 125 f 100 75 50 25 KIN 2 -25 KIN 2 f" -50 -75 -100 -125 -150 x i Describe the relationship between the three graphs. Note that f' = 0 where f has a relative minimum or maximum and f'' = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f' is negative when f' is decreasing. Note that f' = 0 where f has a maximum and f" = O where f' has a maximum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing. Note that f' = 0 where f has a relative minimum or maximum and f" = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f" is positive when f' is decreasing. ○ Note that f' = 0 where f has a relative minimum or maximum and f' = 0 where f' has a relative minimum or maximum. Also note that f" is negative when f is decreasing and f' is negative when f" is decreasing. Note that f' = 0 where f has a minimum and f" = 0 where f' has a minimum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing.
Transcribed Image Text:-π -- y 150 125 f 100 75 50 25 KIN 2 -25 KIN 2 f" -50 -75 -100 -125 -150 x i Describe the relationship between the three graphs. Note that f' = 0 where f has a relative minimum or maximum and f'' = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f' is negative when f' is decreasing. Note that f' = 0 where f has a maximum and f" = O where f' has a maximum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing. Note that f' = 0 where f has a relative minimum or maximum and f" = 0 where f' has a relative minimum or maximum. Also note that f' is negative when f is decreasing and f" is positive when f' is decreasing. ○ Note that f' = 0 where f has a relative minimum or maximum and f' = 0 where f' has a relative minimum or maximum. Also note that f" is negative when f is decreasing and f' is negative when f" is decreasing. Note that f' = 0 where f has a minimum and f" = 0 where f' has a minimum. Also note that f' is positive when f is decreasing and f" is positive when f' is decreasing.
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