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1.7.17 Product and quotient rules (A-level only)

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Question 49

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

P(f)=f−10e0.05f+4,f>0 P(f) = f^{-10} e^{0.05f + 4}, \quad f > 0 P(f)=f−10e0.05f+4,f>0

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

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1.7.17 Product and quotient rules (A-level only) Questions

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