JEE Math Practice Question
Let $$f:R \to R$$ be a function defined by $$f(x) = \min \left\{ {x + 1,\left| x \right| + 1} \right\}$$, then which of the following is true?
- A.$$f(x)$$ is differentiale everywhere
- B.$$f(x)$$ is not differentiable at x = 0
- C.$$f(x) > 1$$ for all $$x \in R$$
- D.$$f(x)$$ is not differentiable at x = 1
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