Question

y=(x^2+4)^2/(x+3) производная

Answer 1

$y' = frac{2(x^2+4)*2x*(x+3)-(x^2+4)^2}{(x+3)^2}= frac{4x(x^2+4)(x+3)-(x^2+4)^2}{(x+3)^2}= \ \ = frac{4x(x^3+4x+3x^2+12)-(x^4+8x^2+16)}{(x+3)^2}= \ \  [tex]= frac{4x^4+16x^2+12x^3+48x-x^4-8x^2-16}{(x+3)^2}= \ \ = frac{3x^4+12x^3+8x^2+48x-16}{(x+3)^2}$