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9.8 Implicit Differentiation

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Question 17

The relationship between the temperature $T$ and the pressure $P$ of a contained gas is modeled by the equation

2P^2 + TP^2 = 5(4^T) + 13, \quad P > 0

Determine an expression for $dPdT\frac{dP}{dT}$ in terms of $T$ and $P$ .

[4]

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

[4]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

9.8 Implicit Differentiation

Question bank

9.8 Implicit Differentiation

Medium Hard

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Question 17

The relationship between the temperature $T$ and the pressure $P$ of a contained gas is modeled by the equation

2P^2 + TP^2 = 5(4^T) + 13, \quad P > 0

Determine an expression for $dPdT\frac{dP}{dT}$ in terms of $T$ and $P$ .

[4]

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

[4]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.