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If y = SX and z = tX where all the lette...

If y = SX and z = tX where all the letters denotes the functions of x and suffixes denotes the differentiation w.r.t x and `|(X,Y,Z),(X_1,Y_1,Z_1),(X_2,Y_2,Z_2)|=X^(k) |(S_1,t_1),(S_2,t_2)|` then K is

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