Calling All AP Calculus Students!!!

Test Preparation
1

<p>Hey guys, I have a problem for you, it's a bit hard to type out, but bear with me:</p>

<p>F ' (x) = [ (3e^x) / (x^2 + 1) ] - 2 </p>

<p>To be sure you are getting the correct problem, it can very easily be simplified to:</p>

<p>F ' (x) = [ (3e^x) - 2(x^2 + 1) ] / [ (x^2 + 1) ] </p>

<p>The difficult part of this problem is setting the given function equal to 0, so as to use the first derivative test to find the increasing/decreasing intervals. When I try to set it equal to 0, I end up getting stuck. I know it involves using ln, but I reach a point where no matter what I do, I get right back to where I started. I know that a calculator could be used to solve it, but obviously there must be some way to do it algebraically. I am not allowed to use a calculator to do it, so if anyone could tell me how to do it algebraically, I would be very appreciative. Thanks!</p>

2

<p>OMG I'm on the exact same chapter! I can't figure it out either!!!! What book are you guys using?</p>

3

<p>We are in a so cal pub school and we are just a lil past that. where u guys live?</p>

4

<p>iowa. I spent three hours on that exact same homework and i still didn't get all the questions. quiz on tuesday=screwed</p>

5

<p>aero56, this is a problem from your textbook??? we just got it on a worksheet, if it's from your textbook what textbook do u use??? ours looks like it's an old AP Question or something, it has three parts to it...and we got it at the end of a packet of integral problems which counts as a project</p>

6

<p>Is that the original equation, or does it give you a function, f(x), before you have to find the derivative?</p>

<p>In other words, does the problem give you f(x) or f'(x)?</p>

7

<p>no... it's not the exact same problem...we're doing integration and differentiation of ln...sorry for the confusion... what book do you use and what chapter are you on?</p>

8

<p>the problem gives you f ' (x) we are on integrals, so the teacher gave us the problem with parts a-c and then added a part d asking us to use integration to find f(x), but the problem itself gives you f ' (x) i did not differentiate in order to get that function. I'm assuming that you were asking b/c you were going to say I probably made an error in differentiating, but unfortunately that function is given by the problem itself</p>

9

<p>we do not go by the book aero56</p>

10

<p>BUMP I know it's getting late, but don't give up guys!</p>

11

<p>when i took the calc bc test, if there was a question like that you'd just put it into your TI-83+. to be more specific: type that into the graphing mode and then find the zero. :P simple, but effective</p>

12

<p>i know that i can do it that way, but this is for a grade, i have to do it algebraically...</p>