If fr(x),gr(x),hr(x),r=1,2,3 are polyno...

If `f_r(x),g_r(x),h_r(x),r=1,2,3` are polynomials such that `f_r(a)=g_r(a)=h_r(a),r=1,2,3a n d` `F(x)=|[f_1(x),f_2(x),f_3(x)],[g_1(x),g_2(x),g_3(x)],[h_1(x),h_2(x),h_3(x)]|` then `F^(prime)(x)a tx=a` is____________________

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Given `f_r(a)=g_r(a)=h_r(a), r=1,2,3 and F=|[f_1(x) , f_2(x) , f_3(x)], [ g_1(x) , g_2(x) , g_3(x)], [h_1(x) , h_2(x) , h_3(x)]|`
`F^prime(x)= |[f_1^prime(x) , f_2^prime(x) , f_3^prime(x)], [g_1(x) , g_2(x) , g_3(x)], [h_1(x) , h_2(x) , h_3(x)] |+| [f_1(x) , f_2(x) , f_3(x)], ...

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