For x in [-14, 14] the function f is defined by

f(x) = x^{3}(x + 1)^{2}
On which two intervals is the function increasing (enter intervals in ascending order)?
to and to
Find the region in which the function is positive: to
Where does the function achieve its minimum?

Question

For x in [-14, 14] the function f is defined by

f(x) = x^{3}(x + 1)^{2}
On which two intervals is the function increasing (enter intervals in ascending order)? 
 to and to 
Find the region in which the function is positive:  to 
Where does the function achieve its minimum?

anonymous · Answer

consider the function f(x)=-2x^3+33x^2-108x+2. for this function, there are three important intervals: (-Inf,A], [A,B], [B,Inf) where A and B are the critical points. find A and B and for each of the important intervals, tell whether f(x) is increasing or decreasing

anonymous · Answer

@timanti  are you asking me a different question?

perl · Answer

@manhani no, she's trying to teach you this so you can answer the question :)

perl · Answer

'consider' means , look at this example , we can learn from it enough to answer the question

perl · Answer

your function is increasing when f ' (x) is positive, and decreasing when f ' (x) is negative

anonymous · Answer

yes but i dont know how to how to that problem. The problem timanti presented is easier then mine

anonymous · Answer

@perl