| 1 | ||
f(x)= | tg3x − tgx + x | |
| 3 |
| 1 | 1 | 1 | ||||
f'(x) = | *3*tg2x* | − | + 1 = | |||
| 3 | cos2x | cos2x |
| 1 | 1 | sin2x | |||
*(tg2x − 1) + 1 = | *( | − 1) + 1 = | |||
| cos2x | cos2x | cos2x |
| 1 | sin2x − cos2x | sin2x − cos2x | |||
*( | ) + 1 = | + 1 = | |||
| cos2x | cos2x | cos4x |
| 1 − cos2x − cos2x + cos4x | 1 − 2*cos2x + cos4x | ||
= | =' | ||
| cos4x | cos4x |
| (1 − cos2x)2 | sin4x | ||
= | = tg4x | ||
| cos4x | cos4x |
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