tangent plane

Say you have a minimum, well, the tangent plane at this point, at the bottom of the graph is going to be horizontal.

Well, that means the gradient is actually perpendicular to the tangent plane or to the surface at this point.

Well, one way to think about it is in terms of tangent plane approximation.

And now what this approximation formula here says is that, in fact, the graph of a function is close to the tangent plane.

If we were moving on the tangent plane, this would be an actual equality.

That's the equation of a tangent plane.

Let's think about the tangent plane with regard to a function f.

In fact, when we turn this into an equality, that would mean that we replace f by the tangent plane.

And, here's a tangent plane at the given point.

We are replacing the graph by its tangent plane.

It is really the tangent plane.

That's one way to define the tangent plane.

That is how we get the tangent plane.

On Quantification Definition and Evaluation in a Simple and Direct Way of Tangent Plane

A Perturbation on Tangent Plane Algorithm for Determining Geometric Constraint Singularity Efficiently

Three Dimensional Reconstruction of Parallel Tangent Plane

The Definition of Tangent Plane of the First Kind Rotating Surface

tangent plane to a surface at a point

space curve and the tangent plane, tangent plane and surface normal;

The Study on Tangent Plane of Quadric Surface by the Characteristic Root