A graphing calculator is recommended. Let f(x) = sec(x) = (a) Find f'(x). f(x) = (b) Check to see that your answer to part (a) is reasonable by graphing f and f' for lxl < O 7 6 5 4 3 2 -2 -3 یا پر ا -4 -3 -6 -7 7 6 5 Describe the relationship between the two graphs. O Note that f' = 0 where f has a minimum. Also note that f' is positive when f is decreasing and f' is negative when fis increasing. O Note that f' = 0 where f has a maximum. Also note that f' is negative when fis decreasing and f' is positive when f is increasing. O Note that f' = 0 where f has a minimum. Also note that f' is negative when f is decreasing and f' is positive when f is increasing. O Note that f = 0 where f' has a minimum. Also note that f' is decreasing when f is negative and f' is increasing when fis positive. O Note that f' = 0 where f has a maximum. Also note that f' is positive when f is decreasing and f' is negative when f is increasing. 7 6 3 2 -2 -3 -4 -7 -8 4 7 6 5 4 3 2 -1 -2 -3 -4 -6 -7 -8 4 2
A graphing calculator is recommended. Let f(x) = sec(x) = (a) Find f'(x). f(x) = (b) Check to see that your answer to part (a) is reasonable by graphing f and f' for lxl < O 7 6 5 4 3 2 -2 -3 یا پر ا -4 -3 -6 -7 7 6 5 Describe the relationship between the two graphs. O Note that f' = 0 where f has a minimum. Also note that f' is positive when f is decreasing and f' is negative when fis increasing. O Note that f' = 0 where f has a maximum. Also note that f' is negative when fis decreasing and f' is positive when f is increasing. O Note that f' = 0 where f has a minimum. Also note that f' is negative when f is decreasing and f' is positive when f is increasing. O Note that f = 0 where f' has a minimum. Also note that f' is decreasing when f is negative and f' is increasing when fis positive. O Note that f' = 0 where f has a maximum. Also note that f' is positive when f is decreasing and f' is negative when f is increasing. 7 6 3 2 -2 -3 -4 -7 -8 4 7 6 5 4 3 2 -1 -2 -3 -4 -6 -7 -8 4 2
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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