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−2x2S = \frac{e^{0.5x - 2}}{x^2}S=x2e0.5x−2
Show that the signal intensity has exactly one stationary point. Fully justify your answer.
Practise Edexcel A Level Maths 9.4 The Product Rule with exam-style questions for A Level Maths. 30 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.