What are/is the conditions to satify Lagrange’s mean value theorem?

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answerhappygod
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What are/is the conditions to satify Lagrange’s mean value theorem?

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a) f is continuous on [a,b]
b) f is differentiable on (a,b)
c) f is differentiable and continuous on (a,b)
d) f is differentiable and non-continuous on (a,b)
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