Question

чему будет равна производная tg^2(x+п/3)

Answer 1

$(tg^2(x+\frac{\pi}{3}))'=2tg(x+\frac{\pi}{3})*(tg(x+\frac{\pi}{3})'=\\=2tg(x+\frac{\pi}{3})*\frac{1}{cos^2(x+\frac{\pi}{3})}*(x+\frac{\pi}{3})'=\frac{2tg(x+\frac{\pi}{3})}{cos^2(x+\frac{\pi}{3})}$