need to learn asymp's, extrema, inflection pts, intervals, c

[hinchcm]

If there is ANYONE out there who is a kind enough person to help me with this (and knows how to do it!) I would be VERY grateful!! I only have one more day to work on these problems!! Thank you so much!

For the following functions:
a) y = xe^(1/x)
b) y = xe^(-x)

I need to find:
1) vertical and horizontal asymptotes
2) relative extrema
3) inflection points
4) intervals where the function is increasing/decreasing
5) where the function is concave up/down

Be sure to evaluate limits at the borders of the domain of the function (e.g. infinity, negative infinity, one sided limits around vertical asymptotes...)

 

[mmm4444bot]

Re: HELP! Please!! I only have 1 more day to figure this out!



Hello HinchCM:

At the top of this board's index, you will find a post titled, "Read Before Posting".

Please, read it.

It outlines your responsibilities for seeking help at this web site.

The main points of that post are (1) we don't simply guess at lessons which we could type for you to provide solutions for your homework, and (2) you make it very difficult for people to help you when you withhold your knowledge and attempts.

After you read your responsibilities, then please come back and show us what you've been able to accomplish so far on these exercises. It would be even better if you could also include statements about why you're stuck.

We are eager to help guide you.

Cheers,

~ Mark



"Spoon feeding, in the long run, teaches us nothing but the shape of the spoon" -- E.M. Forster

"It is a waste of my personal time to type a bunch of stuff that people already know." -- Yours Truly

 

[stapel]

If there is ANYONE out there who...knows how to do it!....
I need to find:
1) vertical and horizontal asymptotes
2) relative extrema
3) inflection points
4) intervals where the function is increasing/decreasing
5) where the function is concave up/down

Be sure to evaluate limits at the borders of the domain of the function (e.g. infinity, negative infinity, one sided limits around vertical asymptotes...)

If you are unable even to get started on any aspect of this, then you need to re-learn some algebra and most or all of the first semester (or year, in high school) of calculus. (It takes that long to go from asymptotes to the Second Derivative Test.)

I regret to inform that there is no "royal road" of secret calculus "cheetz" that have been withheld from you: you simply need to learn the material. Obviously, this cannot be done in under twenty-four hours (or even twenty-four days), so I'm afraid there is little we can do to help. When you re-take this course, please seriously consider contracting with a qualified local tutor, meeting with him for a few hours a week, so that you can better keep up with the class.

My best wishes to you.

Eliz.