 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2001/paper-1/4/a/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

(\frac{\partial G}{\partial θ})_{k} = g (θ, k), (\frac{\partial G}{\partial k})_{θ} = \int_{0}^{θ} \frac{\partial g}{\partial k} (x, k) d x .

These formulas hold, for example, when

g

and its displayed parameter partial derivative are continuous on a neighborhood of the integration interval and the parameter value.

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