jee-main 2017 Q69

jee-main · India · 09apr Composite & Inverse Functions Evaluate Composition from Algebraic Definitions

For $x \in \mathbb { R }$, $f ( x ) = | \log 2 - \sin x |$ and $g ( x ) = f ( f ( x ) )$, then:
(1) $g$ is not differentiable at $x = 0$
(2) $g ^ { \prime } ( 0 ) = \cos ( \log 2 )$
(3) $g ^ { \prime } ( 0 ) = - \cos ( \log 2 )$
(4) $g$ is differentiable at $x = 0$ and $g ^ { \prime } ( 0 ) = - \sin ( \log 2 )$

For $x \in \mathbb { R }$, $f ( x ) = | \log 2 - \sin x |$ and $g ( x ) = f ( f ( x ) )$, then:\\
(1) $g$ is not differentiable at $x = 0$\\
(2) $g ^ { \prime } ( 0 ) = \cos ( \log 2 )$\\
(3) $g ^ { \prime } ( 0 ) = - \cos ( \log 2 )$\\
(4) $g$ is differentiable at $x = 0$ and $g ^ { \prime } ( 0 ) = - \sin ( \log 2 )$

Paper Questions

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