Question

Найти производную функции

Answer 1

Ответ:

$( {x}^{2} - x)'( {x}^{3} + x) + ( {x}^{3} + x)'( {x}^{2} - x) = \\ = (2x - 1)( {x}^{3} + x) + (3 {x}^{2} + 1)( {x}^{2} - x) = \\ = 2 {x}^{4} + 2 {x}^{2} - {x}^{3} - x + 3 {x}^{4} - 3 {x}^{3} + {x}^{2} - x = \\ = 5 {x}^{4} - 4 {x}^{3} + 3 {x}^{2} - 2x$