Rolle's Theorem & Mean Value Theorem | CBSE 12 Maths & comp | NCERT Ex 5.8 intro

This video explains Rolle's Theorem and Lagrange's Mean value theorem in detail and how to apply them in practical.
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Kyunki hum sabhi function ka graph to nhi bna sakte na

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Sir yh to smjh aaya ki CONTINUOUS OR DIFFERENTIABLE h...
But in exams how can we prove that....the given function is CONTINUOUS.,..we can proof that is it differentiable or not..??
And one of the main query is that...
How we can prove that...all polynomial f(x) are continuous..?

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Sir,
F(x)=x+3 , x belongs to {-2,2}
Then how to solve this problem with mean value theorem
Please give solution

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Sir,
How to check for the continuity & differentiability, i.e., the first & second step in the Rolle's Theorem ?

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U can chcek the differentiability by checking whether f ' (x) exists for all values in the given interval or not

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Interval is not closed...i mean function is no defined at end points . So rolle's theorem is not applicable

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