Question

производная от f(x)=2tgX , x0=π/4
срочноо

Answer 1

$f(x)=2tgx\\f'(x)=2(tgx)'=2* frac{1}{Cos ^{2} x}= frac{2}{Cos ^{2}x } \\f'( frac{ pi }{4})= frac{2}{Cos ^{2} frac{ pi }{4} }= frac{2}{( frac{1}{ sqrt{2} }) ^{2} }= frac{2}{ frac{1}{2} } =4$