how to find mean value theorem?

Question

is there any condition that f(a) and f(b) must equal thn we will find f'(c)?.otherwise not

 

Answer 1

 

 

Hi Laila,

 

The conditions to make the mean value theroem hold true are as follows:

 

If a function f is continuous on the closed interval [a, b], where a < b, and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that the mean value therorem is true.

 

No condition that f(a) and f(b) have to be equal.

 

Hope this helps