For the function f (x) = -6x -I- 3 sin(x), find all critical numbers in the grap

Question

For the function f (x) = -6x -I- 3 sin(x), find all critical numbers in the graph of ) (enter x values as a comma-separated list, or none if there are no critical numbers): Find all open intervals where the function is increasing. f is increasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8) or (1,5), (7,10) . Enter none if there are no such intervals.) Similarly, find all open intervals where the function is decreasing: f is decreasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8) or (1,5), (7,10) . Enter none if there are no such intervals.)

Explanation / Answer

df=-6+3cosx

always less than zero so always decreasing,there is no critical point.

none

none

(-infnity,infnity)

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