For the function f(x)=2x^3-54x+14, find all intervals where the function is incr

Question

For the function f(x)=2x^3-54x+14, find all 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) .)

Similarly, find all 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) .)

Finally, find all critical points in the graph of f(x)
critical points: x=

Explanation / Answer

df/dx>0 6x^2-54>0 x^2-9>0 x>3 or x

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