Prove the function is uniformly continuous


Discuss the below:

Q: Assume that f is differentiable for each x∈D⊂R and there exists M>0

such that |f'(x)|≤M for each x∈D

for each x

Prove that f is uniformly continuous on D.

Hint: Can use the mean value theorem.

 

 

 

 

 

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Mathematics: Prove the function is uniformly continuous
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