1.9.12 Product rule (A-level only)

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]

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]

1.9.12 Product rule (A-level only) Questions