Question

ВЫЧИСЛИТЕ ПРОИЗВОДНУЮ​

Answer 1

Ответ:

$y=tg2x+\dfrac{2}{3}\, tg^32x+\dfrac{1}{5}\, tg^52x\\\\\\y'=\dfrac{1}{cos^22x}\cdot 2+\dfrac{2}{3}\cdot 3\, tg^22x\cdot \dfrac{1}{cos^22x}\cdot 2+\dfrac{1}{5}\cdot 5tg^42x\cdot \dfrac{1}{cos^22x}\cdot 2=\\\\\\=\dfrac{2}{cos^22x}\cdot (1+2\, tg^22x+tg^42x)$