The function f(x) = x³ − 12x + 5 has stationary points. What are the x-coordinates of these stationary points?

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Question

The function f(x) = x³ − 12x + 5 has stationary points. What are the x-coordinates of these stationary points?

Accepted Answer

x = 2 and x = −2 — Award 1 mark for setting f'(x) = 3x² − 12 = 0, giving x² = 4, so x = ±2. B is incorrect — this results from solving 3x² = 48. C is incorrect — this confuses the coefficient with the solution. D is incorrect — a cubic function typically has two stationary points.

Answer

x = 2 and x = −2

Answer

x = 2 only

Answer

x = 12 and x = −12

Answer

x = 4 and x = −4

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