Question: f ( x ) = 6 cos 2 ( x ) 12 sin( x ), 0 x 2 (a) Find the interval on which f

f(x) = 6 cos2(x) 12 sin(x), 0 x 2

(a) Find the interval on whichfis increasing. (Enter your answer in interval notation.)

Find the interval on whichfis decreasing. (Enter your answer in interval notation.)

(b) Find the local minimum and maximum values off.

(c) Find the inflection points.

(d) Find the interval on whichfis concave up. (Enter your answer in interval notation.)

Find the interval on whichfis concave down. (Enter your answer in interval notation.)

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