MTH101 GDB Spring July 2011 idea Solution

[Vuhelper]

in the mean value theorems, we discuss the continuity of a given function in the closed interval and the differentiability in the open interval. Why we don’t discuss its differentiability in the closed interval

[moon13]

please help us

[arslanwaris6]

[SIZE="7"][SIZE="7"]bhai gdb ka sloution kb tk aye ga?[/SIZE][/SIZE]

[saeede]

You need the continuity on a compact set, but you don't need the differentiability at the endpoints, because you can find the point you want where the derivative is as you want it on the inside.

If you made it differentiable on the compact set, you'd be adding a hypothesis you don't need, that it's also differentiable at a and b.

[Xpert]

Good answer..............