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3.5.2 Differentiation (A-level only)

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Question 91

The acoustic power $P$ of a specialized sonar pulse is modeled as a function of its frequency $f$ (in kHz) by the equation

f^{-10} e^{0.05f + 4}, \quad f > 0

Show that the power $P$ has exactly one stationary point. Fully justify your answer.

[5]

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3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.2 Differentiation (A-level only)

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3.5.2 Differentiation (A-level only)

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Question 91

The acoustic power $P$ of a specialized sonar pulse is modeled as a function of its frequency $f$ (in kHz) by the equation

f^{-10} e^{0.05f + 4}, \quad f > 0

Show that the power $P$ has exactly one stationary point. Fully justify your answer.

[5]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.