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Differentiation

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Question 219

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.

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Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

Practise Edexcel A Level Maths Differentiation with exam-style questions for A Level Maths. 311 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank