Question

Найдите произвольную функции.
ЗАДАНИЕ 2

Answer 1

Ответ:

a)

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

б)

$y' = \frac{(6x + 5)'(4 - 3x) - (4 - 3x)'(6x + 5)}{ {(4 - 3x)}^{2} } = \\ = \frac{6(4 - 3x) + 3(6x + 5)}{ {(4 - 3x)}^{2} } = \\ = \frac{24 - 18x + 18x + 15}{ {(4 - 3x)}^{2} } = \frac{39}{ {(4 - 3x)}^{2} }$