What are the absolute extrema of #f(x)=(x+1)(x-8)^2+9 in[0,16]#?
1 Answer
Jul 22, 2018
No absolute maxima or minima, we have a maxima at
Explanation:
The maxima will appear where
for
=
It is apparent that when
but
and at
Hence when
we have a local maxima at
not an absolute maxima or minima.
In the interval
(Graph below not drawn to scale)
graph{(x+1)(x-8)^2+9 [-2, 18, 0, 130]}