csat-suneung 2026 Q4

csat-suneung · South-Korea · csat__math 2 marks Differentiation from First Principles
For the function $f ( x ) = 3 x ^ { 3 } + 4 x + 1$, what is the value of $\lim _ { h \rightarrow 0 } \frac { f ( 1 + h ) - f ( 1 ) } { h }$? [2 points]
(1) 7
(2) 9
(3) 11
(4) 13
(5) 15
For the function $f ( x ) = 3 x ^ { 3 } + 4 x + 1$, what is the value of $\lim _ { h \rightarrow 0 } \frac { f ( 1 + h ) - f ( 1 ) } { h }$? [2 points]\\
(1) 7\\
(2) 9\\
(3) 11\\
(4) 13\\
(5) 15