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 3.5 : Derivatives of Trig Functions
7. Differentiate \(h\left( t \right) = {t^3} - {t^2}\sin \left( t \right)\) .
Show SolutionNot much to do here other than take the derivative, which will require the product rule for the second term.
You’ll need to be careful with the minus sign on the second term. You can either use a set of parentheses around the derivative of the second term or you can think of the minus sign as part of the “first” function. We’ll think of the minus sign as part of the first function for this problem.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{h'\left( t \right) = 3{t^2} - 2t\sin \left( t \right) - {t^2}\cos \left( t \right)}}\]