Question

Calculate the derivative of log (|x|)using a calculator.

Answer 1

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.

1. Let's start by writing log (|x|) as ln (|x|) / ln (10), where ln represents the natural logarithm.
2. Using the quotient rule and the chain rule, the derivative can be calculated as 1/x.
3. 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.