Question

Найти производную функции y=(x²-1)(x³+5)

Answer 1

Ответ:

$y = ( {x}^{2} - 1)( {x}^{3} + 5) = {x}^{5} + 5 {x}^{2} - {x}^{3} - 5 = {x}^{5} - {x}^{3} + 5 {x}^{2} - 5$

$y' = 5 {x}^{4} - 3 {x}^{2} + 10x$