Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - Review Exercises - Page 393: 12

$y' = \frac{-6}{x(x-6)}$

$y = \ln(\frac{4x}{x-6})$ $y = \ln(4x) - \ln(x-6)$ $y' = (\frac{1}{4x})(4)-(\frac{1}{x-6})(1)$ $y' = \frac{4}{4x} - \frac{1}{x-6}$ $y' = \frac{1}{x} - \frac{1}{x-6}$ $y' = \frac{x-6-x}{x(x-6)}$ $y' = \frac{-6}{x(x-6)}$