Question

Производная функции y=2arctg^(4)x равна?

Answer 1

$y^{'}=2^{'}*arctan^{4}x+2*(arctan^{4}x)^{'}=\ =2*4arctan^{3}x*(arctan x)^{'}=8arctan^{3}x*frac{1}{1+x^2}$