A signal's intensity, SSS, measured at a distance x x\,x from a source (for x>0x > 0x>0), is modeled by the equation
S=e0.5x−2x2 S = \frac{e^{0.5x - 2}}{x^2} S=x2e0.5x−2Show that the signal intensity has exactly one stationary point. Fully justify your answer.
263 exam-style questions on CCEA A Level Maths 3.5 Differentiation (A-level only), covering 3.5.1 Differentiation (A-level only), 3.5.2 Differentiation (A-level only), 3.5.3 Differentiation (A-level only), 3.5.4 Differentiation (A-level only), 3.5.5 Differentiation (A-level only), and 3.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.