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1.10 G: Differentiation

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Question 193

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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Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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