Question

How would I graph the derivative of the graph attached inside?

:/

Answer 1

graph!

Answer 2

First, what does the derivative represent?

Answer 3

the opposite?

Answer 4

or not really sure how to explain haha but i know that if somethings going up,you move down right? but i'm kinda confused still :/

Answer 5

Ok, so try it this way. When you take the derivative you find the _______ at that particular point.

Answer 6

velocity?

Answer 7

not quite, though you do find the inst. vel. depending on the fn being dif. but I'm looking for smething a little bit simpler

Answer 8

the slope?

Answer 9

not very sure:/

Answer 10

yes!

Answer 11

You find the slope

Answer 12

haha woo!! :)

what do i do from here now?

Answer 13

So, look at the graph, when will the derivative =0?

Answer 14

at -1.5 ?

Answer 15

when will it be positive, negative?

Answer 16

if the derivative is 0, what is the slope?

Answer 17

0?

Answer 18

yea, at -1.5, is the slope 0?

Answer 19

oh no it's 1.5?

Answer 20

(do we know what the graph is labeled?)

Answer 21

no, think about slope, if slope=0, what does that mean it is a graph of

Answer 22

a horizontal line?

Answer 23

or just a line?

Answer 24

Specifically horizontal line

Answer 25

so you want to find the critical pts, aka the tangent line is a horizontal line

Answer 26

ohh okay... so would it be like this?