Question

помогите найти производную

Answer 1

$y= frac{x^2-4}{x^2+4} \y'=((x^2-4)'(x^2+4)-(x^2-4)(x^2+4)')/(x^2+4)^2=\=(2x(x^2+4)-2x(x^2-4))/(x^2+4)^2=\=(2x^3+8x-2x^3+8x)/(x^2+4)^2=\= frac{16x}{(x^2+4)^2}.$