9000063110

Podoblast: 
Derivace funkce
Část: 
B
Project ID: 
9000063110
Source Problem: 
2010002004
Accepted: 
1
Clonable: 
1
Easy: 
0
Derivace funkce \(f\colon y =\sin x(1 +\mathop{\mathrm{tg}}\nolimits x)\) je rovna:
\(f'(x) =\cos x +\sin x + \frac{\sin x} {\cos ^{2}x},\ x\in \mathbb{R}\setminus\{\frac{\pi}{2}+k\pi; k\in \mathbb{Z}\}\)
\(f'(x) =\cos x +\sin x,\ x\in \mathbb{R}\setminus\{\frac{\pi}{2}+k\pi; k\in \mathbb{Z}\}\)
\(f'(x) = \frac{\sin x} {\cos ^{2}x},\ x\in \mathbb{R}\setminus\{\frac{\pi}{2}+k\pi; k\in \mathbb{Z}\}\)
\(f'(x) =\cos x + 2\sin x,\ x\in \mathbb{R}\setminus\{\frac{\pi}{2}+k\pi; k\in \mathbb{Z}\}\)