# If #1/3(x-1)^3+2#, what are the points of inflection, concavity and critical points?

##### 1 Answer

The point of inflection is

#### Explanation:

Let

Let's develop

Calculate the first derivative

The critical points are when

That is,

Now, calculate the second derivative

The points of inflections are when

That is,

Make a sign chart

graph{1/3(x-1)^3+2 [-8.335, 9.445, -2.355, 6.534]}