Differentiate two functions for me, write it up in LaTeX, then code it as a function in MATLAB -- 3

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I need you to find the first and second derivative wrt to sigma and rho, and also d/d rho d sigma (so differentiate rho first, then sigma or other way around) i need you to write up your working out in LaTeX, and not change around the order of the pronumerals too much. Then I would like you to create them as functions in MATLAB. Each of them will be wrt to two variables, rho and sigma (in MATLAB) I have attached the function below

LaTeX

Mathematics

Matlab and Mathematica

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@elephentplayer

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@crucifige

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@finiteostad

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@pengkairu

I'm a phd student of Aerospace Engineering at UT Arlington. And I work on differential equations on a daily basis. Very familiar with both matlab and Latex. All the work are done in MATLAB and all my reports are typed up using Latex.

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@jalilusman15

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