Question

Найдите f"(x) Вторая производная

Answer 1

$1)f'(x) = \cos(x) \\ f''(x) = - \sin(x)$

$2)f'(x) = \frac{1}{ { \cos }^{2}(x) } \\ f''(x) = - 2 { \cos}^{ - 3} (x) \times ( - \sin(x)) = \\ = \frac{2 \sin(x) }{ { \cos}^{3}(x) }$

$3)f'(x) = 2 \cos(2x) \\ f''(x) = - 4 \sin(2x)$

$4)f'(x) = 2 \sin(x) \times \cos(x) = \sin(2x) \\ f''(x) = 2 \cos(2x)$

$5)f'(x) = - 2 \sin(2x) \\ f''(x) = - 4 \cos(2x)$

$6)f'(x) = 2 \cos(x) ( - \sin(x) ) = \\ - \sin(2x) \\ f''(x) = - 2 \cos(2x)$