jee-main 2020 Q64

jee-main · India · session1_09jan_shift2 Composite & Inverse Functions Derivative of an Inverse Function

Let $f$ and $g$ be differentiable functions on $R$ such that $f \circ g$ is the identity function. If for some $a , b \in R , g ^ { \prime } ( a ) = 5$ and $g ( a ) = b$, then $f ^ { \prime } ( b )$ is equal to:
(1) $\frac { 1 } { 5 }$
(2) 1
(3) 5
(4) $\frac { 2 } { 5 }$

Let $f$ and $g$ be differentiable functions on $R$ such that $f \circ g$ is the identity function. If for some $a , b \in R , g ^ { \prime } ( a ) = 5$ and $g ( a ) = b$, then $f ^ { \prime } ( b )$ is equal to:\\
(1) $\frac { 1 } { 5 }$\\
(2) 1\\
(3) 5\\
(4) $\frac { 2 } { 5 }$

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