Question

Найти производные
----------------

Answer 1

y`=[(x²+1)`(x²+x+1)-(x²+x+1)`(x²+1)]/(x²+x+1)²

=[2x(x²+x+1)-2x(x²+1)]/(x²+x+1)²=(2x³+2x²+2x-2x³-2x-x²-1)/(x²+x+1)²=

=(x²-1)/(x²+x+1)²  

Answer 2

y`=[(x²+1)`(x²+x+1)-(x²+x+1)`(x²+1)]/(x²+x+1)²
=[2x(x²+x+1)-2x(x²+1)]/(x²+x+1)²=(2x³+2x²+2x-2x³-2x-x²-1)/(x²+x+1)²=
=(x²-1)/(x²+x+1)²