jee-main 2021 Q71

jee-main · India · session2_16mar_shift2 Applied differentiation Properties of differentiable functions (abstract/theoretical)

Let $f : S \rightarrow S$ where $S = ( 0 , \infty )$ be a twice differentiable function such that $f ( x + 1 ) = x f ( x )$. If $g : S \rightarrow R$ be defined as $g ( x ) = \log _ { \mathrm { e } } f ( x )$, then the value of $\left| g ^ { \prime \prime } ( 5 ) - g ^ { \prime \prime } ( 1 ) \right|$ is equal to :
(1) $\frac { 205 } { 144 }$
(2) $\frac { 197 } { 144 }$
(3) $\frac { 187 } { 144 }$
(4) 1

Let $f : S \rightarrow S$ where $S = ( 0 , \infty )$ be a twice differentiable function such that $f ( x + 1 ) = x f ( x )$. If $g : S \rightarrow R$ be defined as $g ( x ) = \log _ { \mathrm { e } } f ( x )$, then the value of $\left| g ^ { \prime \prime } ( 5 ) - g ^ { \prime \prime } ( 1 ) \right|$ is equal to :\\
(1) $\frac { 205 } { 144 }$\\
(2) $\frac { 197 } { 144 }$\\
(3) $\frac { 187 } { 144 }$\\
(4) 1

Paper Questions

Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75