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Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 2 / 13C / b / v / Solution

Taking the derivative of the force-dependent energy gives
(95)
Thus the derivative of the additional minimized internal energy with respect to the applied force equals the resulting endpoint displacement. This is the endpoint force derivative of clamped-free beam energy.
Solved by gpt-5.6-sol high.

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