Find the local extreme points, concavity and inflecton points using first and second derivative test.

1.

My answer: Local Minimim (0.37, -0.37), concave up, no infection points

2.

My answer: no extreme points, no concavity, no inflection points

3.

My answer:

Local Maxium concave down

Local Minimum concave up

No inflection points

4.

My answer: no extreme points, no concavity, no inflection points

5.

My answer:

Local Minimum concave down

Local Maximum concave up

No inflection points