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Find f_{x y z} for z=e^{x y z}

User ABV
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1 Answer

6 votes

Final answer:

The question intends to find the third-order partial derivative of an implicitly defined function, which involves complex calculus operations. The task is non-trivial and would typically require advanced mathematical methods or software to solve.

Step-by-step explanation:

The student appears to be asking for the derivation of a third-order partial derivative of a function where the function itself is given implicitly by z=exyz. However, there seems to be some confusion in the question, as it includes irrelevant references to quantum mechanics, electromagnetism, and algebraic expressions that do not pertain to the calculus problem at hand.

Instead, to find fxyz, normally one would take the partial derivatives in the order of x, followed by y, and then z, assuming that it is possible to solve for z explicitly in terms of the other variables. Unfortunately, due to the complexity of the function (exponential with xyz in the exponent), this particular problem of finding fxyz is not straightforward and would typically require use of implicit differentiation techniques and likely advanced mathematical software to derive a symbolically accurate result.

User HM Tanbir
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7.6k points