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9.9 Using Second Derivatives

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Question 35

The potential energy, $V$ Joules, of a mechanical system depends on a configuration parameter $x$ according to the model:

\frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10

Use calculus to find the values of $x$ for which the system's potential energy is stationary.

[3]

By using the second derivative, determine the nature of each of these stationary points.

[3]

Markscheme

9.9 Using Second Derivatives Questions

A Level
Maths
9.9 Using Second Derivatives

57 exam-style questions on Edexcel A Level Maths 9.9 Using Second Derivatives. Each one has a worked solution and a mark scheme showing where the marks go.

9.9 Using Second Derivatives

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9.9 Using Second Derivatives

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Question 35

The potential energy, $V$ Joules, of a mechanical system depends on a configuration parameter $x$ according to the model:

\frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10

Use calculus to find the values of $x$ for which the system's potential energy is stationary.

[3]

By using the second derivative, determine the nature of each of these stationary points.

[3]

Markscheme

9.9 Using Second Derivatives Questions

A Level
Maths
9.9 Using Second Derivatives

57 exam-style questions on Edexcel A Level Maths 9.9 Using Second Derivatives. Each one has a worked solution and a mark scheme showing where the marks go.