Saddle point

A flat point (zero gradient) that is uphill in some directions and downhill in others, so it is neither a peak nor a dip.

Where the gradient is zero the ground is flat, but flat doesn’t always mean a bottom: it could be a peak or a saddle point.
From Derivatives, step “The gradient points uphill”

See it in action

Try saddle point hands-on in the lesson Derivatives, part of the The maths behind AI course.

Open the lesson