This is a question I created to fit the AP test style. It is a non-calculator question using implicit differentiation.
Students are asked to verify the first derivative, write an equation of the tangent line, show a point exists where there is a horizontal tangent, and determine the second derivative at a point.
Included is the question, the scoring guide, and a blank answer sheet for students to use.
I use this to help my students become more familiar with the AP style and so that answers to the question cannot be found online.