Science:Math Exam Resources/Courses/MATH100/December 2010/Question 01 (k)/Hint 3

The mean value theorem states the following:

If $\displaystyle f(x)$ is continuous on $\displaystyle [a,b]$ and differentiable on $\displaystyle (a,b)$, then there exists a point $\displaystyle c\in [a,b]$ such that

$\displaystyle f'(c)={\frac {f(b)-f(a)}{b-a}}$.