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Explain rolles theorem with graph and Lagranges theorem also

Explain rolles theorem with graph and Lagranges theorem also

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago
Dear Student,
Rolle's Theorem: It expresses that expecting f be differentiable on the open interim (a, b) and ceaseless on the shut interim [a, b]. 
At that point if f(a) = f(b), there is no less than one point c in (a, b) where f'(c) = 0. 
Lagrange's Theorem: Also known as mean esteem theorem.It states that expecting f(x) be differentiable on the open interim (a, b) and nonstop on the shut interim [a, b]. At that point there is no less than one point c in (a, b) with the end goal that f'(c) = (f(b) - f(a))/(b - a). 
Conditions for the two hypotheses is that f must be differentiable on (a,b) and constant on [a,b].
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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