The directions say to find the points of inflection and discuss the concavity of the graph of the function.
The function is
the intervals [0,2 ]
I know you supposed to take the derivative, then the 2nd then set the equation to zero
so i have up to
Is this right?
if so what do i do next?
To get inflection points you have to solve f ''(x) = 0
You are solving f '(x) = 0 so you need to find f '' (x).
This is only true when x =
x =
To the left of x = f '' (x) < 0
To the right of x = f '' (x) > 0
Therefore we have an ip( inflection point ) at x =
When Then f is concaving down
When then f is concaving up.
Do this for x =