Test Academy | What are/is the conditions to satify Lagrange’s mean value theorem? f is continuous on [a,b], f is differentiable on (a,b), f is differentiable and continuous on (a,b), f is differentiable and non-continuous on (a,b)

Question

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

Options :

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

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