9.9 Using Second Derivatives
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The potential energy, VVV Joules, of a mechanical system depends on a configuration parameter xxx according to the model:

V=13x3+52x2−24x+10V = \frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10V=31​x3+25​x2−24x+10

a.

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

[3]
b.

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

[3]

9.9 Using Second Derivatives Questions

Practise Edexcel A Level Maths 9.9 Using Second Derivatives with exam-style questions for A Level Maths. 57 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.

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9.9 Using Second Derivatives Questions

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