# Is #f(x)=x-sqrt(x^3-3x)# increasing or decreasing at #x=2#?

##### 1 Answer

Feb 19, 2016

Decreasing.

#### Explanation:

Let's find the first derivative of the function

Now

Since slope and derivative are synonymous, we observe that slope of the function at

It can be verified by drawing graph of the function using the graphing tool.

graph{y=x-sqrt(x^3-3x) [-3.437, 6.56, -2.76, 2.24]}