Question

Найти производную:
f(x)=tg x^2-8x^3
f(x)=arcctg2x f(x)=7x/5+6/x
Срочно даю 40 баллов

Answer 1

$1)\ \ f(x)=tgx^2-8x^3\\\\f'(x)=\dfrac{1}{cos^2x^2}\cdot 2x-24x^2\\\\\\2)\ \ f(x)=arcctg2x\\\\f'(x)=-\dfrac{1}{1+(2x)^2}\cdot 2=-\dfrac{2}{1+4x^2}\\\\\\3)\ \ f(x)=\dfrac{7x}{5}+\dfrac{6}{x}\\\\f'(x)=\dfarc{7}{5}-\dfrac{6}{x^2}$