[SADT9] The Laplacian of a function fof n variables a1, x2, · · xndenoted V? fis defined by V²f (x1,x2,·… , xn) := a2 f +...+ a2f .... Now assume that fdepends only on rwhere r = (x{ + x3 + • + x%)?, i.e. ƒ (x1, x2, · · , xn) g (r), for some function g. Show that, for X1, x2,· , xn +0 v²f =- n-1, (r) + g" (r)

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