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Differentiation

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Question 536

A model for the height, hhh metres, of a fast-growing bamboo pole ttt weeks after it is planted is given by h=1.2+4ln⁡(2t+1)h = 1.2 + 4 \ln(2t + 1)h=1.2+4ln(2t+1), for t≥0t \ge 0t≥0. Determine the exact rate of growth of the bamboo pole, in metres per week, at the instant when the height of the pole is 9.29.29.2 metres.

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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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