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Differentiation

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Question 570

In a controlled thermodynamic study, the relationship between the temperature TTT and the pressure PPP of a substance is given by the implicit equation

P3e4T+5P−108T=C P^3 e^{4T} + 5P - 108T = C P3e4T+5P−108T=C

where CCC is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of CCC.

[5]
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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