The point P P\,P lies on the curve with equation y=sec(x2)\displaystyle y = \sec \left( \frac{x}{2} \right)y=sec(2x) with x x\,x coordinate 2π3\displaystyle \frac{2\pi}{3}32π.
Find an equation of the normal to the curve at the point PPP.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
