Question

Relative extrema of x/(x^2+1) is it 1/2 at x=1 and -1/2 at x=-1 or are those the absolute extrema?

Answer 1

Wait so what would the relatives be?

Answer 2

How do you do the leftover?

Answer 3

to find it out, you must construct the table to consider in what interval, the concave up/down to consider whether the critical points give us relative max or min

Answer 4

Great. I have never done one like this before. So I have to make a table of values first.

Answer 5

Okay I have the table of values

Answer 6

So what do I do now?

Answer 7

It is not that table, the table of f"(x) to consider concave up or down.

Answer 8

oh okay so the table of the derivative

Answer 9

So the relative max is where it changes from concave up to concave down?

Answer 10

Of the derivative?

Answer 11

Know it?

Answer 12

the concept how to consider the inflection points are relative max or min?

Answer 13

No I didn't know that. My teacher does not explain things she just gives us homework. So the reflection points of my function are the relative max and min?

Answer 14

http://college.cengage.com/mathematics/larson/calculus_analytic/7e/students/downloads/summaries/ex3_4_3.pdf

Answer 15

http://www.youtube.com/watch?v=2tmRPytHBuk very helpful

Answer 16

x= +1 and -1 are the critical numbers. So I put them into the second derivative.

Answer 17

read and watch the video tap and consider

Answer 18

if f''(c) > 0 then f(c) is a relative minimum
if f'(c) < 0 then f(c) is a relative maximum

Answer 19

yes, you got it.

Answer 20

Thank you so much!

Answer 21

That video is very helpful

Answer 22

np

Answer 23

I did it!!!! I figured it out all my myself!

Answer 24

verygoodstudent!!!

Answer 25

Youareaverygoodteacher. :) If I could be a double fan I would be. Haha!

Answer 26

hahahaha.... be friend is good enough, mate

Answer 27

Do you know a video on finding asymptotes?

Answer 28

I am so exited! I can actually do math now!!!

Answer 29

Wait so is there a relative minimum or is there just a relative max at -sqrt 3

Answer 30

@OOOPS

Answer 31

a bunch of them http://www.youtube.com/results?search_query=finding+asymptotes&sm=1

Answer 32

Does there have to be a relative minimum?