PLEASE HELP IT IS CALCULUS
Consider the equation below. (If an answer does not exist, enter DNE.)

f(x)= 3cos^2 -6sin(x) , 0<_x<_ 2pi


(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.



(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 jnterval on which f is concave down. (Enter your answer using interval notation.)