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1.10 G: Differentiation

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Question 227

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−2​

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

[4]

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.

Question bank