Question:medium
If \(y = \sqrt{x} + 2\cos(\sqrt{x})\), then the value of \(\frac{dy}{dx}\) at \(x = \frac{\pi^2}{4}\) is equal to
If \(y = \sqrt{x} + 2\cos(\sqrt{x})\), then the value of \(\frac{dy}{dx}\) at \(x = \frac{\pi^2}{4}\) is equal to
Show Hint
Always calculate the square root of the target value first. Here, \(\sqrt{x} = \pi/2\) simplifies all the trigonometric terms immediately.
Updated On: Jun 24, 2026
- \(-\frac{1}{2\pi}\)
- \(\frac{1}{\pi}\)
- \(\frac{\pi}{3}\)
- \(-\frac{2}{\pi}\)
- \(-\frac{2}{\pi}\)
Show Solution
The Correct Option is B
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