Cho hàm số $y=f(x)=(x+2)^{4}$. Tính $f^{\prime \prime}(2)$.

Q: Cho hàm số $y=f(x)=(x+2)^{4}$. Tính $f^{\prime \prime}(2)$.

A. $f^{\prime \prime}(2)=108$ B. $f^{\prime \prime}(2)=192$ C. $f^{\prime \prime}(2)=96$ D. $f^{\prime \prime}(2)=81$ Ta có: $f^{\prime}(x)=4(x+2)^{3} \Rightarrow f^{\prime \prime}(x)=12(x+2)^{2} \Rightarrow f^{\prime \prime}(2)=12.4^{2}=192$.

Question

Accepted Answer

A.

$f^{\prime \prime}(2)=108$

B.

$f^{\prime \prime}(2)=192$

C.

$f^{\prime \prime}(2)=96$

D.

$f^{\prime \prime}(2)=81$

Ta có: $f^{\prime}(x)=4(x+2)^{3} \Rightarrow f^{\prime \prime}(x)=12(x+2)^{2} \Rightarrow f^{\prime \prime}(2)=12.4^{2}=192$.

Đề thi cuối kì 2 (Cấu trúc mới) - Đề số 18 - MĐ 10965