Question

Математика 2 курс, срочно надо

Answer 1

Ответ:

1.

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

2)

$f(x_{0}) = {2}^{3} - 2 \times {2}^{2} + 3 \times 2 + 4 = 10$

$f'(x) = 3 {x}^{2} - 4x + 3$

$f'(x_{0}) = 3 \times {2}^{2} - 4 \times 2 + 3 = 7$

$y = 10 + 7(x - 2) = 7x - 4$

3)

$v(t) = - {t}^{2} + 4t + 5 \\ v(3) = - 9 + 12 + 5 = 8$

$a(t) = - 2t + 4 \\ a(3) = - 2 \times 3 + 4 = - 2$