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For the function f(x) = sin 2x − x defined on the interval [−π/2, π/2], what is the difference between its maximum and minimum values?
- π/2
- π
- 3π/2
- π/4
Correct answer: π
Solution
The maximum value of the function occurs at the endpoints of the interval or at critical points where the derivative is zero. Evaluating the function at these points reveals that the difference between the maximum and minimum values is π.
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