Final answer:
The derivative of log (|x|) is 1/x.
Step-by-step explanation:
The derivative of log (|x|) can be calculated using the chain rule and properties of logarithms.
- Let's start by writing log (|x|) as ln (|x|) / ln (10), where ln represents the natural logarithm.
- Using the quotient rule and the chain rule, the derivative can be calculated as 1/x.
- The absolute value of x makes no difference to the derivative since the derivative of a constant is 0.
Therefore, the derivative of log (|x|) is 1/x.