Graphs of $f(x)$, $f'(x)$ and $f''(x)$ · Matching

Put each graph in its place so every column shows a function with its derivative under it and its second derivative under that.

Drag each graph into the table (or tap a graph, then a box). In every column the graph of $y = f'(x)$ is the gradient function of $y = f(x)$ above it, and the graph of $y = f''(x)$ is the gradient function of $y = f'(x)$: where one graph has a stationary point, the graph below it crosses the $x$-axis. 📍 Stationary points draws a dashed line through each one, to follow down the column.

Graphs