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.
30 exam-style questions on OCR (MEI) A Level Maths 1.9.12 Product rule (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.