MATHGOTSERVED
LIMITS
APPLICATION OF DERIVATIVES
Derivative Video Tutorials
AP EXAM REVIEW
LIMITS
DERIVATIVES
APP DERIVATIVES
INTEGRALS
APP INTEGRALS
DIFF. EQUATIONS
INTERACTIVE PRACTICE TEST
FORMULA SHEET & FLAHS CARDS
THE MEAN VALUE THEOREM
The Mean Value Theorem:
If a function f is continuous on the closed interval [a,b] and differentiable on the interval (a,b), then there exists a c in (a,b) such that f'(c)= (f(b)-f(a))/(b-a). In other words there is a c in the interval (a,b) where the slope of the tangent line is equal to the slope of the secant line through (a,f(a)) and (b,f(b)).
