How to find absolute min/max of f(x)=x^3+3x^2-24x+1 on[-1,4]
I need to find the absolute min and absolute max.
The Attempt at a Solution
I first took the derivative, reduced, and set it to equal 0 to find crit numbers.
(x+4)(x-2) = 0
so x=-4 or x=2 but since -4 is not on the interval i threw it out and kept 2 as my only crit #
I plugged in my critical number along with my LB and RB numbers to find:
Aboslute Max. to be (-1,23)
Absolute Min. to be (2-27)
Am I doing this correctly? This was a take home quiz given in my calculus class and I want to make sure it is correct before I turn it in. Thanks! 234