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1.10 G: Differentiation

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Question 157

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

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

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.

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