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Differentiation

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Question 6

The point P lies on the curve with equation y=163x+2\displaystyle y = \frac{16}{3x + 2}y=3x+216​ whose xxx-coordinate is 2

a.

Find an equation to the normal to the curve at the point P.

[5]
b.

The normal intersects the curve again at the point Q. Find the exact coordinates of Q.

[2]
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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