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1.10 G: Differentiation

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Question 24
f(x)=x−12x+1+3x+92x2+7x+3 f(x) = \frac{x-1}{2x+1} + \frac{3x+9}{2x^2+7x+3} f(x)=2x+1x−1​+2x2+7x+33x+9​
a.

Express f(x)f(x)f(x) as a fraction in its simplest form.

[3]
b.

Hence find f′(x)f'(x)f′(x) in its simplest form.

[4]

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.

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