Tutorial 1: Monotonic Functions and the First Derivative Test

Example 2: Find the local extrema of:

and sketch its graph.

[A] test
- Note from: Vicente Posted on: Monday, January 10 at 01:37 PM PST
[Q] help
- Note from: Jose Posted on: Monday, March 29 at 05:21 PM PST
[Q] help
- Note from: Jose Posted on: Monday, March 29 at 05:20 PM PST
[A] Example 2
- Note from: Isaac Newton Posted on: Friday, January 19 at 09:26 PM PST

Solution: First we find the critical numbers of f:

The derivative

when 5-7x=0, that is,

. Also

does not exist when x=1. So the critical numbers are

and 1.