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Rolle's theorem is a special case of the mean value theorem. It applies when the function values at the endpoints are equal, i.e., $f(a) = f(b)$.

Conditions: $f$ is continuous on $[a,b]$; $f$ is differentiable on $(a,b)$; $f(a) = f(b)$

Rolle's theorem is a special case of the mean value theorem. It applies when the function values at the endpoints are equal, i.e., $f(a) = f(b)$.

Conditions: $f$ is continuous on $[a,b]$; $f$ is differentiable on $(a,b)$; $f(a) = f(b)$