Second Derivative Visualization

This animation visually demonstrates the second derivative of the function f(x) = x³ - 3x by showing a tangent line sliding along the curve with a live slope readout. It then displays the graph of the first derivative with its own tangent line representing f''(x) = 6x, highlighting concavity shading, the inflection point at x = 0, and the second derivative test at the local maximum and minimum.