 Solution

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

The two derivatives are

2 x

and

2 (x - 1)

. At the intersection their slopes are

1

and

- 1

, so their direction vectors

(1, 1)

and

(1, - 1)

\frac{π}{2} radians = 9 0^{\circ} .

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