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Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2 . Then,...

Let `f(x)=(x-a)^2+(x-b)^2+(x-c)^2` . Then, `f(x)` has a minimum at `x=` `(a+b+c)/3` (b) `3sqrt(a b c)` (c) `3/(1/a+1/b+1/c)` (d) none of these

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Given,
`f(x)=(x−a)^2+(x−b)^2+(x−c)^2`
Differentiating the function we get,
`f′(x)=2(x−a)+2(x−b)+2(x−c)=6x−2(a+b+c)` ...
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