# How do you find the local extremas for # f(x)= (x-3)^3#?

##### 1 Answer

May 1, 2017

#### Answer:

No local extrema.

#### Explanation:

Take the derivative of

Find when

This happens when

Now check both sides of the zero.

However, check when you check both sides of

You can check this with the graph.

graph{(x-3)^3 [-10, 10, -5, 5]}

As you can see, there's never a change in slope based on this graph. There are however, absolute maximums and minimums at