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)). 
  1. Mean value theorem graphical rolles tangent line ap calculus how to use calculuate
  2. Mean value theorem rolles theorem secant line tangent line ap calc calculus