finalreview1_soln

We now need to check if this critical point is a

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: now need to check if this critical point is a min/max or inflection. One way is to use the second derivative test (but that is no fun), so we just 2x2 observe that since 2x2 > 1+x2 and 3x2 > 2x2 we have that: f (x) 3x2 - 2x2 >0 1 + x2 notice that this is true no matter if x is positive or negative. So that f is increasing through x = 0, this means that our function must have an inflection point at x = 0. Now that we know all our critical points we can just graph as usual. Doing this problem without making the approximation above is okay t...
View Full Document

This note was uploaded on 07/11/2009 for the course MATH Math 31B taught by Professor Houdayer during the Winter '09 term at UCLA.

Ask a homework question - tutors are online