# How do you find all local maximum and minimum points using the second derivative test given #y=x^5-x#?

##### 1 Answer

Oct 23, 2017

#### Explanation:

Apply power rule

For local extrema

Since we are only interested in real roots

For a local maximum

For a local minimum

Testing our results from above

Hence:

We can see the local maximum and minimum on the graph of

graph{x^5-x [-2.434, 2.434, -1.217, 1.217]}