Understanding Vector Calculus: Proofs and Applications

[weihead]

Homework Statement

http://photos-f.ak.fbcdn.net/hphotos-ak-ash1/hs425.ash1/23519_677242553394_6313872_37501934_8229842_n.jpg

I'm unsure as to how to approach part b and c... I figured out part A but I don't know how it ties into part b. Is it saying that F is a function of little f composed r(x) at x^?


Intuitively I should sub in part a into part b but I'm not sure.
Also, for part c..when it says n=3, does it mean that it is the sum of all the functions of x from 1 to 3? so the function I'm computing the Hessian for would be 1/3x^2?

 

[Dick]

For b I think you are supposed to realize that grad(g(r))=g'(r)*grad(r). I'm not really sure where they are going with c.