A curve has equation
5y2+2x=5ye−3x 5y^2 + 2x = 5ye^{-3x} 5y2+2x=5ye−3xFind dydx\frac{dy}{dx}dxdy in terms of xxx and yyy.
The curve crosses the yyy-axis at the origin and at the point PPP.
Find the equation of the normal to the curve at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c where mmm and ccc are constants to be found.
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.
