Learning goal: The gradient is local information. A large step, multiple valleys, or nondifferentiability can prevent reaching the global minimum. Click the plot to change the start.

0.16
Position Height  ‖∇h‖

Observe: for this bowl, η=0.5 is the y-direction stability boundary; oscillations already occur below it. Different double-well starts can reach different minima. The ridge is not differentiable at x=0.