Question

Срочноо, отдам все баллы.44.8(3,4)

Answer 1

Ответ:

3

$f(x) = \sin(x) \times ctg(x) = \sin(x) \times \frac{ \cos(x) }{ \sin(x) } = \cos(x)$

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

4

$f'(x) = (2 \sin(x))' \times (2 {x}^{2} - 1) + (2 {x}^{2} - 1) '\times 2 \sin(x) = \\ = 2 \cos(x) \times (2 {x}^{2} - 1) + 4x \times 2 \sin(x) = \\ = (4 {x}^{2} - 2) \cos(x) + 8x \sin(x)$