Differentiation with Absolute Value

[Guest]

Hi! I have to take the derivative of the absolute value of x minus 2 all over x minus 2. The x is the only thing in the absolute value. Please help, I have not learned differentiation with absolute values and I don't know how to approach this problem. Thanks in advance.

 

[tkhunny]

Consider x >= 0 and x < 0 separately.

 

[pka]

Here is another way.
Consider, |x| as √(x<SUP>2</SUP>).

 

[Guest]

thank you! that makes sense!