The path of a particle in a non-uniform magnetic field is modelled by a curve with equation
(x−2y)2=4x+11y+12 (x - 2y)^2 = 4x + 11y + 12 (x−2y)2=4x+11y+12The path intersects the positive xxx-axis at the point PPP.
Show that the gradient of the curve at PPP is 835\frac{8}{35}358.
Find the equation of the normal to the curve at PPP, giving your answer in the form ax+by=cax + by = cax+by=c, where aaa, bbb and ccc are integers.
Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) 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.
