Question

Продифференцировать данную функцию:

Answer 1

y`=(9(x-1)²:1/(1+(x+7)²-2(x-1)*9arctg(x+7))/(x-1)^4=
=(9(x-1)²((x²+14x+50)-18(x-1)arctg(x+7))/(x-1)^4=
=9(x-1)((x³+13x²+36x-50)-2arctg(x+7))/(x-1)^4=
=9((x³+13x²+36x-50)-2arctg(x+7))/(x-1)³