Suppose is differentiable and . Prove that f is uniformly continuous on (a,b). I am having trouble finding a starting point. Any help would be appreciated.
Follow Math Help Forum on Facebook and Google+
Originally Posted by Aryth Suppose is differentiable and . Prove that f is uniformly continuous on (a,b). Use the mean value theorem. If then
View Tag Cloud
LinkBack URL
About LinkBacksOriginally Posted by Aryth
Supposeis differentiable and
. Prove that f is uniformly continuous on (a,b).
then
![\left( {\exists z \in (x,y)} \right)\left[ {\left| {\frac{{f(y) - f(x)}}{{y - x}}} \right| = \left| {f'(z)} \right|} \right]](http://latex.codecogs.com/png.latex?\left( {\exists z \in (x,y)} \right)\left[ {\left| {\frac{{f(y) - f(x)}}{{y - x}}} \right| = \left| {f'(z)} \right|} \right])
