A) f(x) is differentiable everywhere
B) f(x) is not differentiable at \[x=0\]
C) \[f(x)\ge 1\] for all \[x\in R\]
D) f(x) is not differentiable at \[x=1\]
Correct Answer: A
Solution :
\[f(x)=\,\,min\,\left\{ x+1,\,\left| x \right|+1 \right\}\] \[\Rightarrow \,\,\,f(x)=x\,+1\forall x\in R\] Hence, f(x) is differentiable everywhere for all\[\operatorname{x}\in R\].You need to login to perform this action.
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