Minimum of Trig Function Over Interval

1800SpecialistCalculusTrigonometry

China Mathematical Competition

Given $f(x) = \frac{\sin(\pi x) - \cos(\pi x) + 2}{\sqrt{x}}$ for $\frac{1}{4} \le x \le \frac{5}{4}$, the minimum of $f(x)$ is ______.

0 students attempted0% solvedRating 1800

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1800SpecialistCalculusTrigonometry

China Mathematical Competition

Given $f(x) = \frac{\sin(\pi x) - \cos(\pi x) + 2}{\sqrt{x}}$ for $\frac{1}{4} \le x \le \frac{5}{4}$, the minimum of $f(x)$ is ______.

0 students attempted0% solvedRating 1800