 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-2/16/a/i/solution

Differentiate the scalar field with respect to each Cartesian coordinate:

\nabla V = (6 x^{2}, 2 y - 1, 6 z) .

In particular its value at the point used below is

(24, 3, - 6)

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