Question

найдите f`(x) ,если f(x)=(2*x+1)/(x-3)

Answer 1

$f'(x)=( frac{2x+1}{x-3})' = frac{(2x+1)'*(x-3)-(2x+1)*(x-3)'}{(x-3)^2} = \ \ = frac{2(x-3) -(2x + 1)}{(x-3)^2} = frac{2x-6-2x-1}{(x-3)^2} =- frac{7}{(x-3)^2} \ \ f'(x)=- frac{7}{(x-3)^2}$