Część:
Project ID:
9000070703
Accepted:
1
Wyznacz pochodną funkcji.
\[
f\colon y = \sqrt{\sin x -\cos x}
\]
\(f^{\prime}(x) = \frac{\sin x+\cos x}
{2\sqrt{\sin x-\cos x}};\ x\in \left ( \frac{\pi }{4} + 2k\pi ; \frac{5\pi }
{4} + 2k\pi \right ),\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x+\cos x}
{2\sqrt{\sin x-\cos x}};\ x\in \left [ \frac{\pi }{4} + 2k\pi ; \frac{5\pi }
{4} + 2k\pi \right ] ,\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x-\cos x}
{2\sqrt{\sin x-\cos x}};\ x\in \left [ \frac{\pi }{4} + 2k\pi ; \frac{5\pi }
{4} + 2k\pi \right ] ,\ k\in \mathbb{Z}\)
\(f^{\prime}(x) = \frac{\sin x-\cos x}
{2\sqrt{\sin x-\cos x}};\ x\in \left ( \frac{\pi }{4} + 2k\pi ; \frac{5\pi }
{4} + 2k\pi \right ),\ k\in \mathbb{Z}\)