第二十七單元 切平面
Tangent Lines The equation of the tangent line at x=a is
Tangent Planes
Differentiability (One Variable)
Differentiability
Differentiability
Sufficient Condition for differentiability All of us are continuous
Example
Example
Graph of f (x)
The Direction Vector The direction vector is
The Direction Vector The direction vector is
Normal Vector
The Normal Vector of a Tangent Plane
Theorem Z=f (x ,y)
Example Plane Equation:
Example(continued)
Tangent plane to the level surface
Tangent Plane
Example
Example
graph
單元結語 單變數函數可微分的條件微左導數=右導數，以幾何的角度來看，就是存在一條非鉛直的切線。 雙變數函數可微分的條件就比較複雜了，在此我們提出了可微分的充分條件，以幾何的角度來看，就是切平面的存在性。
1
2
3
4