Question

Вычислить производную функции

Answer 1

$1)y' = 7 {x}^{6} - 12 {x}^{2} + 10x$

$2)y' = 1 \times \sin(x) + x \cos(x) = \sin(x) + x \cos(x)$

$3)y' = \frac{ {e}^{x} {x}^{3} - 3 {x}^{2} \times {e}^{x} }{ {x}^{6} } = \frac{ {e}^{x} {x}^{2} (x - 3) }{ {x}^{6} } = \frac{ {e}^{x} (x - 3)}{ {x}^{4} }$

$4)y' = \frac{1}{x}$