##  [Mean Value Theorem](/mean-value-theorem) 

  ##  [Mean Value Theorem](https://puremath.quantumdictionary.io/mean-value-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem stating that if a function is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b)-f(a))/(b-a), linking the average rate of change to an instantaneous derivative.