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if a function is continuous but non differential at a point it implies

if a function is continuous but non differential at a point it implies
 

Grade:12th pass

2 Answers

Vikas TU
14149 Points
2 years ago
Dear student 
this means that differentiable functions are very atypical among continuous functions. The first known example of a function that is continuous everywhere but differentiable nowhere is the Weierstrass function.
example the absolute value function is actually continuous (though not differentiable) at x=0.
Srutarshi Tripathi
38 Points
2 years ago
For continuity at a point , the function’s limit tending to that point must exist.Whereas for differentiabilty, limit of change in f(x) divided by change in x when delta x tends to zero must exist . Some functions like I x I is continuous throughout but non-differentiable at x=0
 

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