Question

need help on attachment

Answer 1

alright ta, now you understand the first derivative test correct

Answer 2

this is just a visual derivative test... your zeroes will be your critical points because when the derivative is 0 and your tangent is a horizontal line

Answer 3

and also you know that when the derivative changes from positive to negative... it makes a concave down hump which will create a maximum

Answer 4

so looking at this graph you can see that the graph that where before the graph hits the zero it's positive and when it goes past the zero it goes negative... that will be your local max... it's backwards for you minimum in the case that if you see it going negative and then positive that will be a min

Answer 5

so looking at the slope it goes from negative to positive at a showing that it is a minimum

Answer 6

still don't really get your explanation of the graph being positive before the graph hits zero, are you talking about before its hits the first x-intercept which is a

Answer 7

alright so you understand the derivative test correct?

Answer 8

zero = x intercepts

Answer 9

you can use zeroes and x intercepts interchangeably

Answer 10

so the answer would be the critical points of b and c, since the gave is concave upward at those points

Answer 11

That the local minimum

Answer 12

not at point c. point c is a point of inflection. not a max or a min

Answer 13

yes i know thats the tough one but b is not the min... it's the max

Answer 14

because it's showing you the slope of the function so b is a max... because it is positive and then after the critical it goes negative

Answer 15

a is your minimum

Answer 16

why is it a, and c, or b

Answer 17

oops! I meant not c or b

Answer 18

the graph is going to look like this

Answer 19

alright so you know that the first derivative is your slope correct? and this graph is of your f' or basically is graphing the change of your slope

Answer 20

I thought they gave us the graph of derivative

Answer 21

it is.. .the derivative is your graph of your slope changing, so when on your f' graph you see a negative number it means that essentially the graph is decreasing and when it is positive the graph is increasing

Answer 22

understand so far?

Answer 23

so why is critcal point a an local minimum when its increasing to a local maximum

Answer 24

it isn't if you look it's below the x axis meaning it's a - number

Answer 25

so what b and c then?

Answer 26

it just means that the slope is getting more i guess horizontal

Answer 27

well before b your graph is showing that the slope is positive so it's looking like this