____ / 2 \/ x
/ ____\ d | / 2 | --\\/ x / dx
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Apply the power rule: goes to
The result of the chain rule is:
The answer is:
|x| - --- + sign(x) x --------------- x
/|x| sign(x) \ 2*|--- - ------- + DiracDelta(x)| | 2 x | \ x / --------------------------------- x