h(x,y)=sin(x)sin(y) - Automatic Grid Surface
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Tests surfaces with wireframe
① This example demonstrates the 3D surface of the two-variable function h(x,y)=sin(x)sin(y), with an automatic grid clearly revealing the undulating and periodic nature of the surface. ② Core mathematical concepts include multivariable functions, product of trigonometric functions, 3D surface visualization, periodicity, and amplitude variation. ③ Construction highlights: The object h is defined directly in GeoGebra, and the automatic grid option generates the surface mesh without manual commands, allowing immediate observation of the sinusoidal product structure along both x and y directions. ④ Suitable for high school to university-level mathematics education, this example aids in understanding multivariable function graphs, properties of trigonometric products, and basic 3D graphing tools, serving as a visual supplement for partial derivatives and surface analysis in calculus.
GeoGebra Commands & Parameters
h(x, y) = (sin(x) * sin(y))