Let f: R R be a function defined by f( x )= Min 1+ x _ 1 | x |+1 . Then which of the…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f: R \rightarrow R\) be a function defined by \(f(\mathbf{x})=\operatorname{Min}\left\langle 1+\mathbf{x}_{1}\right| \mathbf{x}|+1\rangle\). Then which of the following is true ?
- \(f(x) \geqslant 1 \text { for all } x \in R\)
- \(f(x)\) is not differentiable at \(\mathbf{x}=1\)
- \(\mathrm{f}(\mathrm{x}) \text { is differential everywhere }\)
- \(f(x)\) is not differentiable \(x=0\)
Answer
(D) f(x) is not differentiable x=0
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