Normal to an implicit surface

Gradient rules

Just leaving some notes to differentiate expressions with the \( \nabla \) operator to compute gradients of various functions.

Contour lines

3d graph

Introduction

To represent a 2D function \( z = f(x,y) \) one can draw a 3D surface. The higher the \(z\) value the higher the point on the surface (see above).

  • 1