微积分Find the interval

题目

微积分Find the interval
Consider the function below.(Round the answers to two decimal places.If you need to use - or ,enter -INFINITY or INFINITY.)
f(θ) = 2cos(θ) + (cos (θ))^2
0 ≤ θ ≤ 2π
(a) Find the interval of increase.
Find the interval of decrease.
(b) Find the local minimum value.
(c) Find the inflection points.
(smaller x value)
(larger x value)
Find the interval where the function is concave up.
Find the intervals where the function is concave down.

答案

思考以下函数：（答案化为两位小数,或用无限的符号表示）
f(θ) = 2cos(θ) + (cos (θ))^2
0 ≤ θ ≤ 2π
(a)求递增区间
求递减区间 .
(b) 分别找出两区间的最小值
(c) 找到转折点
(smaller x value)x偏小值
(larger x value)x偏大值
找出函数凹下去的区间
找出函数凸上去的区间