9000070703

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Derivácia funkcie
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B
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9000070703
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1
Určte prvú deriváciu funkcie \(f\colon y = \sqrt{\sin x -\cos x}\).
\(f^{\prime}(x) = \frac{\sin x+\cos x} {2\sqrt{\sin x-\cos x}};\ x\in \left ( \frac{\pi }{4} + 2k\pi ; \frac{5\pi } {4} + 2k\pi \right ),\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x+\cos x} {2\sqrt{\sin x-\cos x}};\ x\in \left \langle \frac{\pi }{4} + 2k\pi ; \frac{5\pi } {4} + 2k\pi \right \rangle ,\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x-\cos x} {2\sqrt{\sin x-\cos x}};\ x\in \left \langle \frac{\pi }{4} + 2k\pi ; \frac{5\pi } {4} + 2k\pi \right \rangle ,\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x-\cos x} {2\sqrt{\sin x-\cos x}};\ x\in \left ( \frac{\pi }{4} + 2k\pi ; \frac{5\pi } {4} + 2k\pi \right ),\ k\in \mathbb{Z}\)