Derivative of (ln(x))/2: Step-by-Step Guide

To find the derivative of (ln(x))/2, we can use the quotient rule.

Let u = ln(x) and v = 2.

Using the quotient rule: (u/v)' = (u'v - v'u)/(v^2)

u' = 1/x (derivative of ln(x) = 1/x) v' = 0 (derivative of a constant is 0)

Plugging these values into the quotient rule formula:

((ln(x))'/2 - 0*(ln(x)))/(2^2) = (1/x)/4 = 1/(4x)

Therefore, the derivative of (ln(x))/2 is 1/(4x).