Prove product rules (i), (iv), and (v).
Reference rules(i), (iv), and (v)
(i) ∇( f g) = f ∇g + g∇ f,
(iv) ∇ . (A × B) = B . (∇ × A) − A · (∇ × B),
(v) ∇ × ( f A) = f (∇ × A) − A × (∇ f ),
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