Question

y=tg(x^2+3)
Найдите производную функции

Answer 1

$y=tg(x^2+3)\\y'=Big (tg(x^2+3)Big )'=frac{1}{cos^2(x^2+3)}cdot (x^2+3)'=frac{1}{cos^2(x^2+3)}cdot 2x=frac{2x}{cos^2(x^2+3)}$