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Is Every Continuous Function Differentiable? - Mathematics

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Question

Is every continuous function differentiable?

Solution

No, function may be continuous at a point but may not be differentiable at that point .
For example: function  

\[f(x) = |x|\]  is continuous at 
 
\[x = 0\]  but it is not differentiable at 
\[x = 0\]
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Chapter 10: Differentiability - Exercise 10.3 [Page 17]

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RD Sharma Mathematics [English] Class 12
Chapter 10 Differentiability
Exercise 10.3 | Q 3 | Page 17

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