What is the absolute maximum value of f(x) = x³ - 3x on the interval [-2, 2]?
Correct answer: C. 2
- A. -4
- B. -2
- C. 2
- D. 4
Explanation
The critical points in the interval are x = -1 and x = 1, and the endpoints are -2 and 2. Evaluating the function gives a largest value of 2 at x = -1 and x = 2.
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About Differentiation and Optimisation
Differentiation covers gradients, standard derivative rules, the product and quotient rules, the chain rule, stationary points and rates of change. Optimisation uses first and second derivatives to classify maxima and minima, while applications include tangent and normal lines, marginal quantities and related rates.
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