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Prove that d/(dx)|(u1,v1,w1),(u2,v2,w2),...

Prove that `d/(dx)|(u_1,v_1,w_1),(u_2,v_2,w_2),(u_3,v_3,w_3)|=|(u_1,v_1,w_1),(u_2,v_2,w_2),(u_4,v_4,w_4)|` where `u,v,w` are functions of `x and (du)/(dx)=u_1,(d^2u)/(dx^2)=u_2,` etc.

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