- #1

- 1

- 0

## Homework Statement

**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.**

## Homework Equations

## The Attempt at a Solution

I first took the derivative, reduced, and set it to equal 0 to find crit numbers.

x^2+2x-8=0

Factored.

(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

[/B]