A particle moves in a 2D plane such that its position is constrained by the curve with equation
2(x−2y)2=5x+3y+12 2(x - 2y)^2 = 5x + 3y + 12 2(x−2y)2=5x+3y+12The curve intersects the positive xxx-axis at the point PPP.
Show that the gradient of the curve at PPP is 1135\frac{11}{35}3511.
Find an equation for 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 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.
