Rolle’s Theorem
Rolles theorem
Definition
If f is continuous on [a,b], differentiable on (a,b), and f(a)=f(b), then f′(c)=0 for some c.
Related Formulas
Lagrange Mean Value Theorem
Lagrange mean value theorem
Second Derivative Test
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Equation of Tangent Line
tangent line equation
Study Tools
Question
Rolle’s Theorem
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Answer
Rolles theorem
If f is continuous on [a,b], differentiable on (a,b), and f(a)=f(b), then f′(c)=0 for some c.
Used In
- Applications of Derivatives
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