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1.10 G: Differentiation

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Question 100

It is given that

f(x)=x−52x+3+2x+42x2+7x+6\displaystyle f(x) = \frac{x - 5}{2x + 3} + \frac{2x + 4}{2x^2 + 7x + 6}f(x)=2x+3x−5​+2x2+7x+62x+4​

a.

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

[3]
b.

Hence find f′(x)f'(x)f′(x), giving your answer in its simplest form.

[4]
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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