An engineer is designing a prototype lens. The cross-section of the lens boundary in the xyxyxy-plane is defined by the curve CCC with equation
4x2y−2y3+5x3=−3 4x^2y - 2y^3 + 5x^3 = -3 4x2y−2y3+5x3=−3Find an equation of the normal to CCC at the point P(1,2)P(1, 2)P(1,2), giving your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, bbb and ccc are integers.
47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.