# How do you find the exact relative maximum and minimum of the polynomial function of #y=x^2+1#?

##### 1 Answer

Jan 20, 2016

You can do this in two ways: using your imagination, or the mathematical way.

#### Explanation:

The **first** way is:

In this case

For every other value

There is no maximum, because whatever value

The **mathematical** way is to define the derivative of the function and set it to zero:

And then you have to define whether this is a max or min situation by taking the second derivative

graph{x^2+1 [-12.61, 12.7, -2.45, 10.21]}