AP CALCULUS AB/BC
MVT & Rolle's Explorer
MVT interactive module letting users sweep endpoints to compute the secant, subsequently automatically identifying all internal $c$ points where tangent perfectly parallels secant. Built with Rolle's edge case and cusp logic breakers.
AP CALCULUS AB/BC
Concavity & Inflection Points
Interactive concavity analysis showing f(x), f′(x), and f″(x) simultaneously for 4 functions. Concavity shading (green=up, red=down), inflection point markers, and movable cursor with real-time derivative values and concavity classification.
AP CALCULUS AB/BC
First & Second Derivative Test
Dual-panel display of f(x) and f′(x) for 4 polynomial/exponential functions. Critical points marked with max/min labels, f′ sign shading (green=increasing, red=decreasing). Second derivative test verification at each critical point. Interactive function selection.