If \(v = {\left( {{x^2} + {y^2} + {z^2}} \right)^{ - \frac{1}{2}}},~then~~\frac{{{\partial ^2}v}}{{\partial {x^2}}} + \frac{{{\partial ^2}v}}{{\partial {y^2}}} + \frac{{{\partial ^2}v}}{{\partial {z^2}}}\) is

If \(v = {\left( {{x^2} + {y^2} + {z^2}} \right)^{ - \frac{1}{2}}},~th

1.	If \(v = {\left( {{x^2} + {y^2} + {z^2}} \right)^{ - \frac{1}{2}}},~then~~\frac{{{\partial ^2}v}}{{\partial {x^2}}} + \frac{{{\partial ^2}v}}{{\partial {y^2}}} + \frac{{{\partial ^2}v}}{{\partial {z^2}}}\) is
A.	-1/2
B.	-1
C.	0
D.	1
Answer» D. 1

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If \(v = {\left( {{x^2} + {y^2} + {z^2}} \right)^{ - \frac{1}{2}}},~then~~\frac{{{\partial ^2}v}}{{\partial {x^2}}} + \frac{{{\partial ^2}v}}{{\partial {y^2}}} + \frac{{{\partial ^2}v}}{{\partial {z^2}}}\) is

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