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Differentiation

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Question 558

The concentration of a specific chemical dye in a test vat, CCC (measured in mg/L), is modeled by the function

C(t)=2t−11t+10,t>0 C(t) = 2t - 11\sqrt{t} + 10, \quad t > 0 C(t)=2t−11t​+10,t>0

where t t\,t is the time in hours since the dye was introduced.

a.

Determine the two values of t t\,t for which the concentration is exactly 5 mg/L.

[4]
b.

Find the value of t t\,t for which C′′(t)=1132\displaystyle C''(t) = \frac{11}{32}C′′(t)=3211​.

[4]
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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