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 Differentiation with exam-style questions for A Level Maths. 311 questions covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change, 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.
