Question

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

Answer 1

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