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Differentiation

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Question 482

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

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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