偏导数的几何意义与定义演示
2015-01-05 14:00
本范例直观展示了多元函数偏导数的定义及其几何意义。通过三维坐标系中的曲面、切平面以及增量线段，动态演示了函数对x和y的偏导数极限过程。用户可以观察固定一个变量时，函数沿另一变量方向的变化率，即切线的斜率。适合微积分课程中理解偏导数概念及空间解析几何的辅助教学。
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<expression label="text2" exp=""\frac{\partial z}{\partial y}= \lim_{\Delta x \to 0}\frac{f(x, y+\Delta y) - f(x,y)}{\Delta x}""/>
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</geogebra>