csat-suneung 2023 Q4

csat-suneung · South-Korea · csat__math 3 marks Product & Quotient Rules
For a polynomial function $f ( x )$, define the function $g ( x )$ as $$g ( x ) = x ^ { 2 } f ( x )$$ If $f ( 2 ) = 1$ and $f ^ { \prime } ( 2 ) = 3$, what is the value of $g ^ { \prime } ( 2 )$? [3 points]
(1) 12
(2) 14
(3) 16
(4) 18
(5) 20
For a polynomial function $f ( x )$, define the function $g ( x )$ as
$$g ( x ) = x ^ { 2 } f ( x )$$
If $f ( 2 ) = 1$ and $f ^ { \prime } ( 2 ) = 3$, what is the value of $g ^ { \prime } ( 2 )$? [3 points]\\
(1) 12\\
(2) 14\\
(3) 16\\
(4) 18\\
(5) 20