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=Cwhere 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.
263 exam-style questions on CCEA A Level Maths 3.5 Differentiation (A-level only), covering 3.5.1 Differentiation (A-level only), 3.5.2 Differentiation (A-level only), 3.5.3 Differentiation (A-level only), 3.5.4 Differentiation (A-level only), 3.5.5 Differentiation (A-level only), and 3.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.