Question

Решите номера.Найдите производную функции.

Answer 1

$f(x)=tgx+4; ; ; x_0=- pi /4\f`(x)=(tgx+4)= frac{1}{cos^2x}\f`(x_0)=f`(- pi /4)= frac{1}{cos^2(- pi /4)}= frac{1}{( sqrt{2}/2)^2 }= frac{1}{1/2}=2\\f(x)= frac{x+1}{x-1}; ; ; x_0=2\f`(x)= frac{(x+1)`(x-1)-(x+1)(x-1)`}{(x-1)^2}= frac{x-1-x-1}{(x-1)^2}= -frac{2}{(x-1)^2}\f`(x_0)=f`(2)= frac{-2}{(-2-1)^2}= -frac{2}{9} \\f(x)=x^3+2x; ; ; x_0=2\f`(x)=(x^3+2x)`=3x^2+2\f`(x_0)=f`(2)=3*2^2+2=3*9+2=27+2=29$