Course home

1.9.16 Implicit differentiation (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 38

In a controlled thermodynamic study, the relationship between the temperature $T$ and the pressure $P$ of a substance is given by the implicit equation

P^3 e^{4T} + 5P - 108T = C

where $C$ is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of $C$ .

[5]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.9.16 Implicit differentiation (A-level only)

Question bank

1.9.16 Implicit differentiation (A-level only)

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 38

In a controlled thermodynamic study, the relationship between the temperature $T$ and the pressure $P$ of a substance is given by the implicit equation

P^3 e^{4T} + 5P - 108T = C

where $C$ is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of $C$ .

[5]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.