Question 1
Let f(x)=(1)/(3)x^(3)-2x^(2).
Find critical numbers of the function.
}. Use a comma
to separate answers as needed. If the function has no critical numbers, enter
DNE.
Find the x-coordinate(s) of the relative maximum point(s), if any. x=
. If the function has no relative maximum points, enter DNE.
Find the x-coordinate(s) of the relative minimum point(s), if any. x=
. If the function has no relative minimum points, enter DNE.
Find the x-coordinates of the inflection point(s), if any. x=
. If the function has no inflection points, enter DNE.
Determine where the function is concave upward
your answer using interval notation. If an answer does not exist, enter DNE.
Determine where the function is concave downwarc
Enter your answer using interval notation. If an answer does not exist, enter
DNE.
Question 1
12 pts
Let
1. Find critical numbers of the function. x={(0,0) , (4,-32/3)
}. Use a comma
to separate answers as needed. If the function has no critical numbers, enter DNE.
2. Find the -coordinate(s) of the relative maximum point(s), if any. x=
If the function has no relative maximum points, enter DNE.
3. Find the-coordinate(s) of the relative minimum point(s), if any. x=
If the function has no relative minimum points, enter DNE.
4. Find the -coordinates of the inflection point(s), if any. x=
. If the function has no inflection points, enter DNE.
5.Determine where the function is concave upward
Enter
your answer using interval notation. If an answer does not exist, enter DNE.
6.Determine where the function is concave downward
Enter your answer using interval notation.If an answer does not exist,enter
DNE.