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Differentiation

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Question 525

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=−3

Find 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.

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Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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