Does the converse of Rolle's Theorem hold true? Let [math]f[/math] be continuous on [math][a,b][/math] and differentiable on [math](a,b)[/math]. If there exists [math]c[/math] in [math](a,b)[/math] such that [math]f'(c)=0[/math], does it follow that ...
![Examine If Rolle'S Theorem is Applicable to Any of the Following Functions. Can You Say Some Thing About the Converse of Rolle'S Theorem from These Examples? F (X) = [X] for X Examine If Rolle'S Theorem is Applicable to Any of the Following Functions. Can You Say Some Thing About the Converse of Rolle'S Theorem from These Examples? F (X) = [X] for X](https://www.shaalaa.com/images/_4:e8433d6c7f53401498c9038aae68d320.png)
Examine If Rolle'S Theorem is Applicable to Any of the Following Functions. Can You Say Some Thing About the Converse of Rolle'S Theorem from These Examples? F (X) = [X] for X
![partial differential equations - Why does $w=u-h$ satisfy mean value property on any ball inside $B$? - Mathematics Stack Exchange partial differential equations - Why does $w=u-h$ satisfy mean value property on any ball inside $B$? - Mathematics Stack Exchange](https://i.stack.imgur.com/0xfxn.png)
partial differential equations - Why does $w=u-h$ satisfy mean value property on any ball inside $B$? - Mathematics Stack Exchange
![Functional equations and the Cauchy mean value theorem – topic of research paper in Mathematics. Download scholarly article PDF and read for free on CyberLeninka open science hub. Functional equations and the Cauchy mean value theorem – topic of research paper in Mathematics. Download scholarly article PDF and read for free on CyberLeninka open science hub.](https://cyberleninka.org/viewer_images/1383025/f/1.png)