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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 123

The relationship between the temperature TTT and the pressure PPP of a contained gas is modeled by the equation

7T+2P2+TP2=5(4T)+13,P>0 7T + 2P^2 + TP^2 = 5(4^T) + 13, \quad P > 0 7T+2P2+TP2=5(4T)+13,P>0
a.

Determine an expression for dPdT\frac{dP}{dT}dTdP​ in terms of TTT and PPP.

[4]
b.

Find the exact value of the rate of change of pressure with respect to temperature when T=0T = 0T=0.

[4]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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