Question

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

http://www.webassign.net/scalc/2-8-2.gif

f ' (0)
f ' (1)
f ' (2)
f ' (3)
f ' (4)
f ' (5)

Answer 1

use a ruler

Answer 2

Note that the graph of the function is decreasing from (-infinity, 1) and from (4, infinity). This means that the derivative will be negative for these values of x

Answer 3

For the interval (1,4) the function is increasing, so the derivative will be positive.

Answer 4

Where the function has maximums/minimums, the derivative will be 0.

Answer 5

cruffo i really appreciate your help but i need an answer to the accuracy of .1 or closer

Answer 6

yeah cruffo; quit slacking :)

Answer 7

Oh, damn. I was thinking you just had to put them in order :0 Sorry, should have read the question more carefully!

Answer 8

amistre, any chance you can figure this one out?

Answer 9

looked at it, and it doesnt really seem familiar to me .... i dont think I could get it to .1 accuracy :)

Answer 10

the max and mins maybe :)

Answer 11

I'd agree with heromiles, use a ruler to try and find the slope of the line that goes through the given values of x, and some other point (that's what the ruler is for) and is tangent to the curve.

Answer 12

the approximation to one decimal place is whats killing me :/

Answer 13

you know that f'(1) and f'(4) are both 0 :)

Answer 14

i've tried figuring them out, but i have only one attempt left for each before i fail the question entirely. my 'ruler method' isnt working...this is really quite a pain

Answer 15

Yes, i know those two

Answer 16

are you sure you know the ruler method?

Answer 17

you're kidding right?

Answer 18

how do you construct a graph from its derivatives?

Answer 19

something about a taylor series i think

Answer 20

the pic is rather small to try to work anything constructive out of

Answer 21

update: all i need is the final one. ie, f ' (5).