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>0Determine an expression for dPdT\frac{dP}{dT}dTdP in terms of TTT and PPP.
Find the exact value of the rate of change of pressure with respect to temperature when T=0T = 0T=0.
Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, 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.
