Answer to Question #229502 in Calculus for Vipul sharma

Question #229502

If u = (-1/r)r, find the value of grad (div u) .

Expert's answer

u=(-1/r)r

div u=div[(-1/r)r]=-2/r

grad (div u)=[grad (-2/r)= (2/r³) grad r]

grad f(r)=[f'(r) grad r]

[f'(r) grad r]= 2/r³(1/r)r= (2/r³)r

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