If y = (x, z) is obtained from z = f (x, y), then does the partial derivative (AZ / ay) (ay / AZ) = 1 hold

establish
If z = f (x, y), then AZ / ay = F2 ';
Two sided derivation of Z gives 1 = F2 '* (ay / AZ), that is, ay / AZ = 1 / F2';
So (AZ / ay) * (ay / AZ) = F2 '* (1 / F2') = 1

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