Cho hàm số $f\left(x\right)=\dfrac{1}{2x-1}$. Tính $f''\left(-1\right)$.
![]() | $-\dfrac{8}{27}$ |
![]() | $\dfrac{2}{9}$ |
![]() | $\dfrac{8}{27}$ |
![]() | $-\dfrac{4}{27}$ |
Chọn phương án A.
$f'\left(x\right)=\dfrac{-2}{\left(2x-1\right)^2}$, $f''\left(x\right)=\dfrac{8}{\left(2x-1\right)^3}$.
Khi đó $f''\left(-1\right)=-\dfrac{8}{27}$.