Thread: Local Max and Interval Problem help please

The function f(x)=6x^3-27x^2-72x+6
is decreasing on the interval (-1,4).
It is increasing on the interval ( -INF, -1) and the interval (4, INF).
The function has a local maximum at _______.

i had a hard time finding the local maximum. so what is the answer. i will gratefully appreciated.

local maximum at (1-e,1+e)

Originally Posted by jpratt

The function f(x)=6x^3-27x^2-72x+6
is decreasing on the interval (-1,4).
It is increasing on the interval ( -INF, -1) and the interval (4, INF).
The function has a local maximum at _______.

i had a hard time finding the local maximum. so what is the answer. i will gratefully appreciated.

increasing to x = -1, decreasing to x = 4, increasing as x -> infinity

make a sketch ... where will f(x) have a relative maximum?