Part (a) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2π Find the intervals on which f is increasing. Find the interval on which fis decreasing. Step 1 of 6 For f(x) = 2 sin x + 2 cos x, we have f'(x) = If this equals 0, then we have cos x = TU when x = or x = Submit Skip (you cannot come back) Part (b) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2π Find the local minimum and maximum values of f. , which becomes tan x= Click here to begin! . Hence, in the interval 0 ≤ x ≤ 2π, f'(x) = 0 Click here to begin! Part (c) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2π Find the inflection points. Find the interval on which fis concave up. Find the intervals on which fis concave down.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Part (a)
Consider the equation below.
f(x) = 2 sin x + 2 cos x
0 ≤ x ≤ 2π
Find the intervals on which f is increasing. Find the interval on which f is decreasing.
Step 1 of 6
For f(x) = 2 sin x + 2 cos x, we have
f'(x) =
If this equals 0, then we have cos x =
TU
when x = or x =
Submit Skip (you cannot come back)
Part (b)
Consider the equation below.
f(x) = 2 sin x + 2 cos x
0 ≤x≤ 2π
Find the local minimum and maximum values of f.
, which becomes tan x =
Click here to begin!
. Hence, in the interval 0≤ x ≤ 2π, f'(x) = 0
Click here to begin!
Part (c)
Consider the equation below.
f(x) = 2 sin x + 2 cos x
0 ≤ x ≤ 2π
Find the inflection points. Find the interval on which fis concave up. Find the intervals on which fis concave down.
Transcribed Image Text:Part (a) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2π Find the intervals on which f is increasing. Find the interval on which f is decreasing. Step 1 of 6 For f(x) = 2 sin x + 2 cos x, we have f'(x) = If this equals 0, then we have cos x = TU when x = or x = Submit Skip (you cannot come back) Part (b) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤x≤ 2π Find the local minimum and maximum values of f. , which becomes tan x = Click here to begin! . Hence, in the interval 0≤ x ≤ 2π, f'(x) = 0 Click here to begin! Part (c) Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2π Find the inflection points. Find the interval on which fis concave up. Find the intervals on which fis concave down.
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