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1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

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Question 5

A physicist models the intensity of radiation, III, at a distance x x\,x metres from a point source using the equation

I=25x3+0.4x,x≥1 I = \frac{25}{x^3} + 0.4^x, \quad x \ge 1 I=x325​+0.4x,x≥1

Find an expression for the rate of change of radiation intensity with respect to distance, dIdx\dfrac{dI}{dx}dxdI​.

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Markscheme

1.9.10 Differentiate e^kx, a^kx and ln x (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

23 exam-style questions on OCR (MEI) A Level Maths 1.9.10 Differentiate e^kx, a^kx and ln x (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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