Mathematics - Calculus - Differential - Applications of derivatives - Maxima and Minima Finder
Show the graph of a cubic function like f(x)=x³-6x²+9x+2. The student can drag a point along the curve. Display f'(x) value at that point. When f'(x) crosses zero, highlight that spot. At x=1: f'(x)=0 and curve changes from increasing to decreasing → LOCAL MAXIMUM. At x=3: f'(x)=0 and curve changes