Question

how to prove rolle's theorem on any equation ??

Answer 1

If f(x) is defined from [a,b]

and if f(a)=f(b) , then there exists a point c , where f ' (c) = 0.

Answer 2

okay.. akshat you on this?? cause i am in the middle of typing out a long question. one minute plz, coolbird

Answer 3

Yup...I got this covered..

Answer 4

ya sure apoorv

Answer 5

You understood this coolbird..right?

Answer 6

ya .. but m waiting for apoorv's ans .. coz it contain 6 marks in exam .. so i hv to write something more for get dat marks

Answer 7

hmm... so here you coolbird.

now rolle's theorem states that suppose there is a continuous function in [a,b], and is differential in (a,b). and its given that f(a)=f(b). then acc. to rolle, at some point 'c' between a and b (atleast one such point) the function's derivative is zero, which basically means that at that point, the slope becomes zero.

i ll show you how graphically...

the above example showed 3 values of 'c' where the function's slope beczme zero. but atleast a minimum one 'c' has to be there. how? lets see..