Question

найдите производную функции у=2х/х^2+3

Answer 1

у=2х/(х²+3)
y' = ((2х)' *(х²+3) -2х*(х²+3)' )/(х²+3)² = (2*(x² +3) - 2x*2x)/(x² +3)² =
= (2x² +6 -4x²)/(x² +3)² = (6 -2x²)/(x² +3)²