Partial Derivatives of 2-Variable Functions

Graph of a function f(x,y) with a point (a,b) in the plane.
The intersection (in red) of the graph with the plane y = b.
The plane and the intersection with the graph removed.
Graph of the function f(x,b), which is just a different view of the
image above.  The slope of the blue line (which is tangent to the
graph) is fx(a,b).

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