Question

suma a doua numere este 17. produsul lor este maxim. calculati numerele

Answer 1

$x+y=17$
$xy-max$
$y=17-x$
$f(x)=x(17-x)$
$f(x)=- x^{2} +17x$
$f'(x)=-2x+17$
$-2x+17=0$
$x= \frac{17}{2}$
$y=17- \frac{17}{2} = \frac{17}{2}$