Question

Найти производную функции arctg^6(5x^4)

Answer 1

y'=((arctg(5x⁴))⁶)'=6(arctg(5x⁴))⁵(arctg(5x⁴))'=6(arctg(5x⁴))⁵(5x⁴)'/(1+(5x⁴)²)=
=6(arctg(5x⁴))⁵20x³/(1+25x⁸)