Warmup 9/17 Mr. Xiong’s car passes a stationary patrol cars at 65 mph. He passes another patrol car 8 min later going 55 mph. He was immediately stop and ticketed for going 75 mph. Why did he lose in court? Write out your solution on the white board and be ready to share.

Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : go over hw Hw quiz Notes lesson 3.3

Notebook Table of content Page 1 Learning Target 1 13) Extreme Values 14) Role’s Thm MVT 15) Increasing/Decr easing & 1 st deriv. Test LT3: Use the 1 st and 2 nd derivatives to identify key features of a graph. HW: p183; 3-6,17-33 odd, 41,43,57- 62,71,81,82

3.3 Increasing/ Decreasing functions & first derivative test. If f(x) is increasing “Slope is +” “ Graph goes up” If f(x) is decreasing “Slope is -” “ Graph goes down” Movement value

Slope If f(x) is increasing “Slope is +” “ Graph goes up” If f(x) is decreasing “Slope is -” “ Graph goes down” If f(x) is “flat” “turning” “ plateau”

First Derivative test Ex: Max min plateau Flat line 3 Maximum

Ex: -2 Plateau

Ex: Find increasing, decreasing, max, min, neither 0 1

Ex: Find increasing, decreasing, max, min, neither 0 1

Ex: Find increasing, decreasing, max, min, neither