3.5.2 Differentiation (A-level only)

A signal's intensity, $S$ , measured at a distance $x\,$ from a source (for $x > 0$ ), is modeled by the equation

\frac{e^{0.5x - 2}}{x^2}

Show that the signal intensity has exactly one stationary point. Fully justify your answer.

[4]

A signal's intensity, $S$ , measured at a distance $x\,$ from a source (for $x > 0$ ), is modeled by the equation

\frac{e^{0.5x - 2}}{x^2}

Show that the signal intensity has exactly one stationary point. Fully justify your answer.

[4]

3.5.2 Differentiation (A-level only) Questions