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Bilibili · Charles队长Original video
Calculus · 中文

Partial derivatives

A Chinese visual explanation of partial derivatives. Catalog metadata imported from the original Math Video site and checked against the source platform; not a transcript.

Reviewed learning material · Video analysis · English

Fixing one variable gives a vertical cross-section of a surface. With y=b fixed, the tangent slope is f_x(a,b); with x=a fixed, it is f_y(a,b). The planes are parallel to xz and yz respectively, connecting surface behavior with one-variable differentiation.

Before you watch

  • Spatial coordinates and surfaces
  • One-variable derivatives and tangent slopes

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