9.9 Using Second Derivatives
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(Solutions based entirely on graphical or numerical methods are not acceptable.)

The operational efficiency E E\,E of a specialized power-generation turbine is modeled as a function of the internal gas pressure ppp (measured in bar), given by E(p)=185p53−96p+450,p>0E(p) = \frac{18}{5}p^{\frac{5}{3}} - 96p + 450, \quad p > 0E(p)=518​p35​−96p+450,p>0

a.

Solve the equation E′(p)=0E'(p) = 0E′(p)=0.

[3]
b.

Solve the equation E′′(p)=23\displaystyle E''(p) = \frac{2}{3}E′′(p)=32​.

[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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