Question

Найдите производную функции у=2√х(1-х)

Answer 1

$y=2sqrt{x(1-x)}=2sqrt{x-x^{2} }\\y'=2(sqrt{x-x^{2} })'=2*frac{1}{2sqrt{x-x^{2}}}*(x-x^{2})'=frac{1-2x}{sqrt{x-x^{2}}}$