First, try graphing the function. Always helps! Graph first, and then it will be easy to graph - just reflect the negative part of the graph about the x axis.

You will see that has a cusp because of the absolute value. The derivative doesn't exist there but it exists everywhere else the function is defined. To find the derivative where it exists note that

if

if

so that is actually two functions :

if

if

then just find the derivative in those two cases like you would usually.