# The Mean Value Theorem Illustrated

- Author:
- libraryghost_1

- Topic:
- Calculus, Means, Tangent Line or Tangent

Questions:
1) What does the Mean Value Theorem State?
2) Does the graph pictured satisfy the hypotheses?
Click the box to show the tangent line and the slope of the tangent line:
3) What does the MVT mean when it says: "there is a number c in [a , b] such that
f'(c) = [f(b)-b(a)]/(b-a)?
4) How does the picture illustrate this? (How does the slope of the tangent and secant lines compare?)