Question

Найти производную!!!!!!
$y = 2 \tan( \frac{x}{2} )$
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Answer 1

$y=2\, tg\frac{x}{2}\\\\y'=2\, \frac{1}{cos^2\frac{x}{2}}\cdot (\frac{x}{2})'=2\cdot \frac{1}{cos^2\frac{x}{2}}\cdot \frac{1}{2}=\frac{1}{cos^2\frac{x}{2}}$