Question

производная
$y = \tan(6x)$
При x0=
$\frac{\pi}{24}$
​

Answer 1

Ответ:

12

Объяснение:

Функция

y = tg 6x

Производная

$y' = \dfrac{6}{cos^2~6x}$

При

$x_0 = \dfrac{\pi}{24}$

$y' = \dfrac{6}{cos^2~\Big (6\cdot \dfrac{\pi}{24}\Big )} = \dfrac{6}{cos^2~\dfrac{\pi}{4} } = \dfrac{6}{\Big (\dfrac{1}{\sqrt{2} }\Big )^2 } = 12.$