Question:medium
The function \(f(x) = 2\cos x - x + 3\) is
The function \(f(x) = 2\cos x - x + 3\) is
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If \(f'(x)<0\) for all \(x\) in an interval, the function is strictly decreasing.
Updated On: Apr 24, 2026
- increasing in \((0,\pi)\)
- decreasing in \((0,\pi)\)
- increasing in \((0,\frac{\pi}{2})\) and decreasing in \((\frac{\pi}{2},\pi)\)
- decreasing in \((0,\frac{\pi}{2})\) and increasing in \((\frac{\pi}{2},\pi)\)
- increasing in \((0,\frac{\pi}{4})\) and decreasing in \((\frac{\pi}{4},\pi)\)
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The Correct Option is B
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