Consider the function f(x)=3cosx-cos^3x for 0<x<2pi

Question

a.) The x intercepts are

b.) f'(x)

c.) f(x) is increasing on the interval(s)

d.) f(x) is decreasing on the interval(s)

e.) f(x) has a local maximum at x= None

f.) f(x) has a local minimum at x=

g.) f"(x)=

h.) f(x) is concave up on the interval(s)

i.) f(x) is concave down on the interval(s)

j.) The x coordinate of the points of inflection are

Answer 1

Graph it or at least sketch it.

iF has maximum at x=0 and 2 pi and a minimum at pi.

Inflection points at pi/2 and 3pi/2.