A curve has the equation 3x2+xy+y2=203x^2 + xy + y^2 = 203x2+xy+y2=20
The gradient of the tangent to the curve is 43\displaystyle \frac{4}{3}34 at the points P P\,P and QQQ.
Show that 2x+y=02x + y = 02x+y=0 at P P\,P and QQQ.
Find the coordinates of P P\,P and QQQ.
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.
