A curve has the equation
2x2−3xy+y2=122x^2 - 3xy + y^2 = 122x2−3xy+y2=12
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy.
Find an equation of the normal to the curve at the point (1,−2)(1, -2)(1,−2).
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.