(i)[4]
Write $\frac{dy}{dx}$ in terms of $\tan x$.
(ii)[2]
Hence determine the $x$-coordinate of the point on the curve where the gradient is $-1$. Give your answer correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by $y = \frac{2}{3}\ln(1 + 3\cos^2 x)$ for $0 \leq x \leq \frac{1}{2}\pi$.