Hey,

I am slowly moving through the calculus portion of a math textbook my girlfriend lent me and am stuck on a few problems involving finding the first derivative of equations involving absolute values.

I will use one of these as an example.

Question

Find the derivative of:

Solution

Normally, if there was no absolute value, I would rewrite the equation as . Then I would use the product rule to get . Likely ending up writing it as .

*I did this to show that I know how to do it with no absolute value*

I know what an absolute value is, I am unsure of what to do with it when trying to derive a function that has one.

I searched google and found a couple websites that tried to explain it, but I could not grasp what they were saying. I was hoping that someone could, using my example, explain (in english) how to go about doing this.

Thanks in advanced!