Question

Okay, so first derivative tells the local max, min.Second derivative tells direction of concavity. What else do we know from the second and first derivative?

Answer 1

First derivative tells whether the function is increasing or decreasing.
When second derivative goes from positive to negative or negative to positive, it will have a point of inflection at that point.

Answer 2

You can use the first derivative to find the inflection point?

Answer 3

***You can use the first derivative to find the inflection point?***
The first derivative of a function = 0 at an inflection point.
(and also at local max or min points)