| 1 | 2 | |||
(arctg(2x+1))'= | *(2x+1)'= | = | ||
| (2x+1)2+1 | 4x2+4x+2 |
| 1 | ||
= | ||
| 2x2+2x+1 |
| 1 | ||
(ln(1+sin(3x))'= | *(1+sin(3x)'= | |
| sin(3x)+1 |
| 1 | 3cos(3x) | |||
= | *3cos(3x)= | =3cos(3x)+3ctg(3x) | ||
| 1+sin(3x) | 1+sin(3x) |
| ctg2(x)−3 | ||
=3(cos(3x)+ctg(3x))=3[4cos3(x)−3cos(x)+ctg(x)* | ]= | |
| 3ctg2(x)−1 |
| ctg2(x)−3 | ||
12cos3(x)−9cos(x)+3ctg(x)* | ||
| 3ctg2(x)−1 |
| 1 | ctg2(x)−3 | |||
f'(x)= | +12cos3(x)−9cos(x)+3ctg(x)* | |||
| 2x2+2x+1 | 3ctg2−1 |