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1.10 G: Differentiation

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Question 19

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]

1.10 G: Differentiation Questions

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

Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank