jee-main 2022 Q72

jee-main · India · session1_25jun_shift1 Composite & Inverse Functions Derivative of an Inverse Function

Let $f : R \rightarrow R$ be defined as $f(x) = x ^ { 3 } + x - 5$. If $g(x)$ is a function such that $f( g(x) ) = x , \forall x \in R$, then $g ^ { \prime } (63)$ is equal to
(1) 49
(2) $\frac { 1 } { 49 }$
(3) $\frac { 43 } { 49 }$
(4) $\frac { 3 } { 49 }$

Let $f : R \rightarrow R$ be defined as $f(x) = x ^ { 3 } + x - 5$. If $g(x)$ is a function such that $f( g(x) ) = x , \forall x \in R$, then $g ^ { \prime } (63)$ is equal to\\
(1) 49\\
(2) $\frac { 1 } { 49 }$\\
(3) $\frac { 43 } { 49 }$\\
(4) $\frac { 3 } { 49 }$

Paper Questions

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