12.3 Tangent Plane and Differentiability

1. Can you find and prove an analogue for Chain rule for the multi-variable function?

2. Find the general form of the solution of the wave equation .

3-4. Find the equation of the tangent plane to the given surface at the indicated point.

3. at .

http://matrix.skku.ac.kr/cal-lab/cal-12-3-3.html

(Sol)            

1/3*(pi - 3*x)*sqrt(3) - 3/2*y - z - 1/2 == 0

4. at .

http://matrix.skku.ac.kr/cal-lab/cal-12-3-4.html

(Sol) 

 -w - 2*x - 1 == 0