Question

Найти производную
$y= frac{4 x^{2} }{ sqrt{2x+3} }$

Answer 1

$y`=(8x* sqrt{2x+3} -4x^2/ sqrt{2x+3} )/(2x+3)=[8x(2x+3)-4x^2]$/$sqrt{(2x+3)^3} =(16x^2+24x-4x^2)/ sqrt{(2x+3)^3} =(12x^2+24x)$/$sqrt{(2x+3)^3}$