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Differentiation

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Question 607

The acoustic power PPP of a specialized sonar pulse is modeled as a function of its frequency fff (in kHz) by the equation

P(f)=f−10e0.05f+4,f>0 P(f) = f^{-10} e^{0.05f + 4}, \quad f > 0 P(f)=f−10e0.05f+4,f>0

Show that the power PPP has exactly one stationary point. Fully justify your answer.

[5]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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