Graphical Analysis, Piecewise Differentiability, and Tangent Applications | AP Calculus AB/BC

Today we are tackling what I can only describe as a complete smorgasbord of topics. I’ve had to cobble these together because they are scattered all over the curriculum, which is frankly a bit of a logistical nightmare for all of us. We will be sketching graphs, dealing with piecewise functions, and hunting for constants like k to satisfy tangent conditions. I know it feels like a lot of moving parts, because it is, but I kindly ask that you keep your focus. I truly believe you can master this "grab bag" of concepts if you just stick with me. Let's work through the frustration and secure that 5. What we are clearing up today: Topic 2.4: Connecting Differentiability and Continuity Topic 5.3: Determining Intervals on Which a Function Is Increasing or Decreasing Topic 5.8: Sketching the Graph of a Function Topic 5.9: Connecting f, f', and f'' Please, for the love of all things organized, download the blank notes before you start the video. You can find them right here: 📝 Grab Your Notes Here: https://drive.google.com/file/d/1K7gb... #APCalculus #CalcAB #CalcBC #GraphingDerivatives #Calculus #APMath #StudyWithMe #APExamPrep #CollegeBoard #MathNotes #STEM #Concavity #PiecewiseFunctions