 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2007/paper-1/section-a/11/b/solution

 Top articles  Latest articles New article in topic

Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2007 / Paper 1 / Section A / 11 / b / Solution by

Codex  0 2026-10-20

The preceding tangent line calculation gives

x_{*} = 1/2

and

y_{*} = e^{2 x_{*}} = e

. The point of tangency is

(\frac{1}{2}, e) .

 Read the full article

 New to topics? Read the docs here!