Find the open interval on which the function is increasing and decreasing and find the local and absolute extreme value????? f(x)= xLnx
2 Answers
Increasing on
Explanation:
The derivative of
This
so
On
(I like
On
Therefore
Because there are no other critical numbers,
The function
Evaluate the derivative:
Therefore the function is decreasing for:
and increasing for
Note that:
and using l'Hospital's rule:
So
graph{xlnx [-10, 10, -5, 5]}