Differentiate term by term:
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 derivative of a constant times a function is the constant times the derivative of the function.
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
So, the result is:
The derivative of the constant is zero.
The result is:
The answer is:
/|x| sign(x) \ 2*|--- - ------- + DiracDelta(x)| | 2 x | \ x / --------------------------------- x