Derivadas parciales. Interpretación geométrica

Summary

This video lecture by Professor Trinidad Casasús explores partial derivatives and their geometric interpretation, beginning with a review of derivatives in one variable. It explains the concept of partial derivatives for functions of two and multiple variables, highlighting how to compute them while keeping other variables constant. Geometrically, partial derivatives represent the slopes of tangent lines to curves formed by intersecting surfaces with planes parallel to the coordinate axes. The video also covers the gradient of a function, emphasizing its role in optimization and its geometric interpretation as a vector perpendicular to the tangent plane.

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