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Dear Nithin,
Rolles theorem says that, if for a continous and differentiable function f, f(a)=f(b), then f'(c)=0, atleast for one c lying between a and b.
That means graphically that if the function is continous and differentiable then, as it has equal values a and b and if it increases after a, then it will decrease to same value at b after having atleast one local maxima for (a,b) and if it decreases after a, then it will increase to same value at b after having atleast one local minima for (a,b). If the function is constant then the slope will always be zero.
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards,Askiitians Experts
Spandan Pratyush
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