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Consider the function $y=|x|$ in the interval $[-1, 1]$. In this interval, the function is

  1. continuous and differentiable

  2. continuous but not differentiable

  3. differentiable but not continuous

  4. neither continuous nor differentiable

 

asked in Calculus by Veteran (56.3k points)   | 138 views

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(b) It is continuous but not differentiable at x=0 as left hand limit will be negative while the right hand limit will be positive but for differentiation, both must be same.
answered by Junior (639 points)  
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