Re: (VU-Study-Corner) solution of MTH101 GDB (idea)

BSCS nd urs?

On Tue, Jul 5, 2011 at 10:23 PM, bc100400337 Neelam Younas <bc100400337@vu.edu.pk> wrote:

maryam ur program?

On Tue, Jul 5, 2011 at 10:22 PM, bc100400581 Maryam Nawaz
<bc100400581@vu.edu.pk> wrote:
> Thanxxxxxxxx
>
> On Tue, Jul 5, 2011 at 10:20 PM, Muhammad Umair
> <muhammad.umair.491@gmail.com> wrote:
>>
>> assalam o alaikum
>> dear fellows, MTH101 ka GDB aaya hooa hai...
>>  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?
>> yeh is liay k aik function [a,b] k closed interval par continuous tou ho
>> sakta hai, par [a,b] par differentiable nahin ho sakta...
>> example hai y = sqrt(1-x^2)
>> yeh function x = -1 and 1 par continuous hai....par -1 aur 1 par
>> differentiable nahin hai....
>> yaad rakhain k mean value theorem mein hamain function k [a,b] k closed
>> interval par differentiate honay ya nah honay se koi gharz nahin
>> hoti....sirf [a,b] par continuous hona hi kafi hota hai...kyun k mean value
>> theorem k mutabiq agar yeh teen cheezain satisfy hon
>> 1. function is continuous on the closed interval [a,b].
>> 2. function is differentiable on the open interval (a,b).
>> tou [a,b] interval k darmiaan aik aisa point c hota hai jahan par
>> instantaneous rate of change at that point, equal hota hai, overall average
>> rate of change k, in the interval (a,b).
>> average rate of change ka formula hai [ f(b)-f(a) ] / (b-a)...
>> jab k point c choon k [a,b] interval k darmiaan lie karta hai aur function
>> hamara continous hai tou point c par function differentiable bhi ho ga...
>> is se yehi pata chalta hai k [a,b] par function k differentiable honay se
>> hamain koi gharaz nahin hai....agar function end points par differentiable
>> nah bhi ho tou tab bhi hamain koi faraq nahin paray ga aur ham mean value
>> theorem apply kar sakain gay....
>>
>>
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