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Lennard-Jones Potential : First, Second, and Third Derivatives

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Please see the attachment. I am trying to take the first, second, and third derivatives of this equation, so I can utilize them to determine relationship to force and modulus, and thermal expansion coefficient. Please help me take the derivatives properly. Thanks!

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The First, Second, and Third Derivatives of the Lennard-Jones Potential equation are found. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

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