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If f(i)=sum(i=0)^(2)a(ij)x^(i), j=1,2,3 ...

If `f_(i)=sum_(i=0)^(2)a_(ij)x^(i), `j=1,2,3 and `f_(j)` and are denoted by `(df)/(dx) "and" (d^(2)f_(j))/(dx^(2))` "respectively then g(x) =`|{:(f_(1),f_(2),f_(3)),(f_(1)^('),f_(2)^('),f_(3)^(')),(f_(1)^(''),f_(2)^(''),f_(3)^('')):}|` is

A

a constant

B

a linear in x

C

a quadratic in x

D

a cubic in x

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