# What are the global and local extrema of #f(x)=x^3+48/x# ?

##### 1 Answer

Local:

Global:

#### Explanation:

To find extrema, you just find points where **or is undefined** . So:

To make this a power rule problem, we'll rewrite

Now, we just take this derivative. We end up with:

Going from negative exponents to fractions again:

We can already see where one of our extrema will occur:

Next, we solve for the other(s). To start, we multiply both sides by

We have 3 places where extrema occur:

So, our **absolute minimum** is the point **absolute maximum** is

Hope that helps :)