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3.5 Differentiation (A-level only)

3.5 Differentiation (A-level only)

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Question 106

A chemical engineer monitors the concentration, C C\,C mmol/L, of a reagent in a reaction vessel, which is modeled by the function

C(t)=4t+82t+1,t>−0.5 C(t) = \frac{4t + 8}{\sqrt{2t + 1}}, \quad t > -0.5 C(t)=2t+1​4t+8​,t>−0.5

where t t\,t is the time in minutes from the start of the reaction.

a.

Find C′(t)C'(t)C′(t), giving your answer in simplest form.

[4]
b.

Hence, determine the range of values for the concentration CCC.

[3]
Markscheme

3.5 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Differentiation (A-level only)

263 exam-style questions on CCEA A Level Maths 3.5 Differentiation (A-level only), covering 3.5.1 Differentiation (A-level only), 3.5.2 Differentiation (A-level only), 3.5.3 Differentiation (A-level only), 3.5.4 Differentiation (A-level only), 3.5.5 Differentiation (A-level only), and 3.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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