Ok, so I know the function is increasing because which is positive

also it is concave up because which is also positive

Please teach me how to solve for local extreme points and inflection points, and for concavity, do I just answer concave up?

- Feb 27th 2009, 06:27 PMjkamiAnalyze the function for local extreme points, concavity and inflection points

Ok, so I know the function is increasing because which is positive

also it is concave up because which is also positive

Please teach me how to solve for local extreme points and inflection points, and for concavity, do I just answer concave up? - Feb 27th 2009, 08:20 PMmr fantastic
- Feb 27th 2009, 08:23 PMjkami
Derivative

If postive, then function increasing

If negative, then function decreasing

If zero, then critical point

Second Derivative

If positive, then concave up

If negative, then concave down

If zero, then inflection point

So I figured the minimum point is , so what is the inflection point - Feb 27th 2009, 08:27 PMmr fantastic
- Feb 27th 2009, 08:45 PMjkami
The problem asked for 3 things

1. extreme points

2. concavity

3. inflection points

I figured

1. extreme point = at minimum

2. concavity = concave up

Now I still need the inflection point

I noticed that , so does it mean there are no inflection points? - Feb 27th 2009, 08:48 PMmr fantastic