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Differentiation

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Question 84

The point P P\,P lies on the curve with equation y=83x+1\displaystyle y = \frac{8}{3x + 1}y=3x+18​ with xxx-coordinate 1.

a.

Find an equation for the normal to the curve at the point PPP.

[5]
b.

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

[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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