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1.10 G: Differentiation

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Question 145

The curve C C\,C has equation

y=2+ln⁡(3−2x)y = 2 + \ln(3 - 2x)y=2+ln(3−2x), x<32\displaystyle x < \frac{3}{2}x<23​

C C\,C crosses the xxx-axis at the point QQQ.

Find the exact xxx-coordinate of QQQ, and the exact gradient of C C\,C at QQQ.

[5]
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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