# What are the local extrema, if any, of #f(x) =2-x^2#?

##### 1 Answer

Oct 1, 2016

#### Answer:

#### Explanation:

For a local maximum or minimum

Hence

Now consider

So,

This can be seen on the graph of

graph{2-x^2 [-4.933, 4.934, -2.467, 2.465]}