Question

производная от f(x)=(5x-3)/(x-2) x0=4
срочнооо

Answer 1

$f(x)=\frac{5x-3}{x-2}\\\\f'(x)=\frac{5(x-2)-(5x-3)\cdot 1}{(x-2)^2}=\frac{5x-10-5x+3}{(x-2)^2}=\frac{-7}{(x-2)^2} \\\\f'(4)=- \frac{7}{2^2}=- \frac{7}{4}=-1,75$