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Find the derivative of Δx, where
Δx= determinant (((f_1 (x)),(φ_1 (x)),(Ψ_1 (x))),((f_2 (x)),(φ_2 (x)),(Ψ_2 (x))),((f_3 (x)),(φ_3 (x)),(Ψ_3 (x))))
and f_1 (x) ,f_2 (x), f_3 (x),φ_1 (x), etc. are different functions of x.

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