9.9 Using Second Derivatives
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A research probe measures the signal intensity I I\,I at a distance x x\,x from a source. The intensity is modeled by the function

I=54x4−485x+500+32x2x≠0I = 54x^4 - 485x + 500 + \frac{32}{x^2} \quad x \neq 0I=54x4−485x+500+x232​x=0

a.

Find dIdx\displaystyle \frac{dI}{dx}dxdI​.

[3]
b.

Hence find the coordinates of the stationary points of the curve.

[6]

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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