and there exists M>0
such that
Prove that f is uniformly continuous on D.
Hint: Can use the mean value theorem.
Assume that f is differentiable for each x and there exists M>0
such that
for each x
Prove that f is uniformly continuous on D.
Hint: Can use the mean value theorem.
keywords: differentiability, continuity
Uniformly Continuous Functions and the Mean Value Theorem are investigated. The response received a rating of "5/5" from the student who originally posted the question.