jee-main 2018 Q80

jee-main · India · 08apr Differentiation from First Principles

Let $S = \left\{ t \in R : f ( x ) = | x - \pi | \cdot \left( e ^ { | x | } - 1 \right) \sin | x |\right.$ is not differentiable at $\left. t \right\}$. Then, the set $S$ is equal to:
(1) $\{ 0 , \pi \}$
(2) $\phi$ (an empty set)
(3) $\{ 0 \}$
(4) $\{ \pi \}$

Let $S = \left\{ t \in R : f ( x ) = | x - \pi | \cdot \left( e ^ { | x | } - 1 \right) \sin | x |\right.$ is not differentiable at $\left. t \right\}$. Then, the set $S$ is equal to:\\
(1) $\{ 0 , \pi \}$\\
(2) $\phi$ (an empty set)\\
(3) $\{ 0 \}$\\
(4) $\{ \pi \}$

Paper Questions

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