多元函数的偏导数与切平面

GeoGebra 命令及参数

1. IntersectPath(c, a) → d
2. IntersectPath(b, a) → e
3. Derivative(a, x) → g
4. Derivative(a, y) → h
5. Line(T, Vector[(1, 0, g(x_{0}, y_{0}))]) → i
6. Line(T, Vector[(0, 1, h(x_{0}, y_{0}))]) → f
7. Vector((1, 0, g(x_{0}, y_{0}))) → t_{x}
8. Vector((0, 1, h(x_{0}, y_{0}))) → t_{y}
9. Vector(T, T + (5 * t_{x}) ⊗ t_{y}) → n
10. Vector(T, T + (5 * t_{x})) → u
11. Vector(T, T + (5 * t_{y})) → v
12. Segment(T, T_{0}) → j
13. Surface(x_{0} + u, y_{0} + v, a(x_{0}, y_{0}) + (u * g(x_{0}, y_{0})) + (v * h(x_{0}, y_{0})), u, -3, 3, v, -3, 3) → k