ベクトル場の発散(divergence of vector field)

演習問題

1.: ${\bf F} = (3xyz^2,2xy^3,-x^2 yz), f = 3x^2 - yz$ のとき点P におけるつぎのものを求めよう．
(a): grad
(b): divF
(c): curlF
(d): grad(div F)
(e): div(grad)
(f): curl(curlF)
(g): $\displaystyle{\nabla \times (f {\bf F})}$
(h): $\displaystyle{\nabla \times (\nabla f)}$