I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 3.6 : Derivatives of Exponential and Logarithm Functions
6. Differentiate \(\displaystyle f\left( t \right) = \frac{{1 + 5t}}{{\ln \left( t \right)}}\) .
Show SolutionNot much to do here other than take the derivative using the formulas from class. \[f^{\prime}\left( t \right) = \frac{{5\ln \left( t \right) - \left( {1 + 5t} \right)\left( {\frac{1}{t}} \right)}}{{{{\left[ {\ln \left( t \right)} \right]}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{5\ln \left( t \right) - \frac{1}{t} - 5}}{{{{\left[ {\ln \left( t \right)} \right]}^2}}}}}\]