(i)[5]
Show that, on differentiation, $\frac{dy}{dx} = 4\cos^2 x - \sec^2 x - 2$.
(ii)[4]
Hence determine the $x$-coordinate of $M$, with your answer correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram depicts the curve $y = \tan x \cos 2x$, for $0 \le x \le \frac{\pi}{2}$, together with its maximum point $M$.