(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) Find the intervals on which is increasing or decreasing.

(b) Find the local maximum and minimum values of .

(c) Find the intervals of concavity and the inflection points.

F=x^{2}/(x^{2}+3

3. The attempt at a solution

a) f ' =6x/(x^{2}+3)^{2}

6x=0 => x=0

What concluusion can I draw from this data about increase/decrease?

I am asking because my function actually does not go below y=0, so I thought that it does not decrease at all. My answer is that f is only increasing on intervals for which f'(x) > 0.

b) local minimum is at (0,0). no local maximum.

c) inflection points: x=+-1.

Stuck with concavity!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Concavity, inflection ps, intervals of F.

**Physics Forums | Science Articles, Homework Help, Discussion**