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Let \(f(x) = x^3 - 6x^2 + 12x - 5\).
  1. Find expressions for \(f'(x)\) and \(f''(x)\).
  2. Find the coordinates of the stationary point of \(f(x)\).
  3. Find the coordinates of the point of inflection.
  4. Show that the stationary point is also the point of inflection.

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