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 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.
