Given:
[-4,5] being the interval how can I find the absolute extrema of the function on this interval? Step by step is always easiet to follow for me.
thanks for any help!
Hello, Jimmy!
This is a very sneaky problem!
Set the derivative equal to zero . . .Given: .
Find the absolute extrema of the function on this interval.
We have: .
Then: .
Multiply by
. . Then: .
Critical point: .
Test the endpoints of the interval.
. .
. .
I would have written: .
Then I saw that is a vertical asymptote!
I found that: .
. . So there is no absolute maximum.
But we do have an absolute minimum: .