Consider the equation below.

f(x) = 2(cos(x))2 - 4sin(x)

0 ≤ x ≤ 2

(a) Find the interval on which f is increasing.

(b) Find the local minimum and maximum values of f.

(min)

(max)

(c) Find the inflection points. (Order your answers from smallest to largest x-value.)

( , ) (smaller x value)

( , ) (larger x value)

Find the interval on which f is concave up.

Find the intervals on which f is concave down.