Question

Найдите f'(П/4) если f(x)=корень из tgx

Answer 1

$f(x)=\sqrt{\tan x}\\ f'(x)=\dfrac{1}{\cos^2x}\\\\ f'\left(\dfrac{\pi}{4}\right)=\dfrac{1}{\left(\dfrac{1}{\sqrt2}\right)^2}=2$