Question

помогите найти производные функции

Answer 1

$a)y = 4 {x}^{3} + \frac{1}{2} {x}^{2} + 3 \\ y' = 13 {x}^{2} + x \\ b)y = \frac{1}{5} {x}^{5} + \frac{1}{4} {x}^{4} - 3 {x}^{2} + 9 \\ y' = {x}^{4} + {x}^{3} - 6x$
$c)y = (2 {x}^{3} - 3)(2 {x}^{3} - 1) = 4 {x}^{6} - 2 {x}^{3} - 6 {x}^{3} + 3 = \\ = 4 {x}^{6} - 8 {x}^{3} + 3 \\ y' = 24 {x}^{5} - 24 {x}^{2}$
$d)y = log_{11}(x) + \sin(x) \\ y' = \frac{1}{x ln(11) } + \cos(x)$
$e)y = 5 {e}^{ - x} - {x}^{2} \\ y' = - 5 {e}^{ - x} - 2x = - \frac{5}{ {e}^{x} } - 2x$