Выбери правильный ответ

Найди производную функции.

1. \(y=\sin(2x-1)\) .
2. \(y=\cos(3x+4)\) .
3. \(y=\tg(4x-2)\) .
4. \(y=\ctg(5x+5)\) .

Ответ.

1. \(y' = \) [ \(-\cos(2x-1)\) | \(2\cos(2x-1)\) | \(2\sin(2x-1)\) ].
2. \(y' = \) [ \(3\sin(3x+4)\) | \(-3\sin(3x+4)\) | \(3\cos(3x+4)\) ].
3. \(y' = \) [ \(\frac{4x-2}{\cos^2 (4x-2)}\) | \(\frac{4x-2}{\sin^2 (4x-2)}\) | \(\frac{4}{\cos^2 (4x-2)}\) ].
4. \(y' = \) [ \(-\frac{5}{\sin^2 (5x+5)}\) | \(\frac{5}{\cos^2 (5x+5)}\) | \(\frac{5x+5}{\cos^2 (5x+5)}\) ].