Question

Найти производную dy/dx данной функции

Answer 1

$y=4arcsin frac{x}{2} +x sqrt{4-x^2} \y'=4* frac{1}{ sqrt{1-x^2} } * frac{1}{2} +sqrt{4-x^2}+x* frac{1}{2sqrt{4-x^2}} *(-2x)=\= frac{2}{ sqrt{1-x^2} }+sqrt{4-x^2}-x* frac{2 x^{2} }{sqrt{4-x^2}}$