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Consider the following in respect of the function $\mathrm{f}(\mathrm{x})=|\mathrm{x}-3|:$
1- $\mathrm{f}(\mathrm{x})$ is continuous at $\mathrm{x}=3$
2- $\mathrm{f}(\mathrm{x})$ is differentiable at $\mathrm{x}=0$. Which of the above statements is/are correct?
Options:
1- $\mathrm{f}(\mathrm{x})$ is continuous at $\mathrm{x}=3$
2- $\mathrm{f}(\mathrm{x})$ is differentiable at $\mathrm{x}=0$. Which of the above statements is/are correct?
Solution:
2693 Upvotes
Verified Answer
The correct answer is:
2 only
Given $\mathrm{f}(\mathrm{x})=|\mathrm{x}-3|$ is not continuous at $\mathrm{x}=3$ but it is differentiable at $\mathrm{x}=0$.
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