Suppose that f(x)=x^3−3x^2+2.
where is the function increasing and where is it decreasing on what intervals. what is the point of inflection

Question

Suppose that f(x)=x^3−3x^2+2.
where is the function increasing and where is it decreasing on what intervals. what is the point of inflection

anonymous · Answer

still having problems with this?

anonymous · Answer

derive my friend

anonymous · Answer

i though someone solve this whole problem with u before

anonymous · Answer

no im having trouble with the intervals i have my critical points but i dont know where to plug them in in the first derivative or in the original equation

anonymous · Answer

well remember me what where the critical points?
0 and 2?

anonymous · Answer

yeah those were it

agent0smith · Answer

Once you have the critical points, you have to check the sign of the first derivative near those points (to the left and right).

If the first derivative is negative, the function is decreasing. If positive, the function is increasing.

anonymous · Answer

Draw a two tables with each table containing a critical point. 
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