Normal to an implicit surface

\( \renewcommand{\vec}[1]{ \mathbf{#1} }  \)

Gradient rules

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

Contour lines

3d graph


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).

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