Question

Найти производную функцию

Answer 1

Ответ:

$y = ( {x}^{2} + 5)(3 {x}^{4} -4)$

$y' = ( {x}^{2} + 5)'(3 {x}^{4} - 4) +(3 {x}^{4} - 4)'( {x}^{2} + 5) = \\ = 2x(3 {x}^{4} - 4) + 12 {x}^{3} ( {x}^{2} + 5) = \\ = 6 {x}^{5} - 8x + 12 {x}^{5} + 60 {x}^{3} = \\ = 18 {x}^{5} + 60 {x}^{3} - 8x$