Question

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)

          Consider the equation below. (If an answer does not exist, enter
DNE.)
f(x) = 3 sin(x)
+ 3 cos(x),    0 ≤ x ≤ 2π
(a) Find the interval on which f is
increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing.
(Enter your answer using interval notation.)
(b) Find the local minimum and maximum values
of f.
local minimum value    
local maximum value
(c) Find the inflection points.
(x, y)
 = 
  
 (smaller x-value)
(x, y)
 = 
  
 (larger x-value)
Find the interval on which f is concave up.
(Enter your answer using interval notation.)
Find the interval on which f is concave down.
(Enter your answer using interval notation.)

Added by Corey S.

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