 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-2/7/a/solution

(x - 1, y - 1, z - 1)^{T}

. At the origin this gives

\nablaΦ (0, 0, 0) = (- 1, - 1, - 1)^{T} .

 New to topics? Read the docs here!