 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/8/solution

The base

2 e

is constant. Write the exponential function as

exp [cos x ln (2 e)]

and apply the chain rule:

\frac{d}{d x} (2 e)^{c o s x} = - (1 + ln 2) sin x (2 e)^{c o s x} .

 New to topics? Read the docs here!