1. Today in Calculus Go over homework Trig Review Mean Value Theorem

3. Inverse Trig Functions

4. Intermediate Value Theorem for Derivatives
A function y = f ′(x) that is continuous on a closed interval [a, b] MUST take on every value between f ′(a) and f ′(b).

5. Mean Value Theorem (MVT)
If f(x) is continuous at every point of the close interval [a,b] and differentiable at every point off its interior (a,b), then there MUST be at least one point c in (a,b) at which

6. Example
Show f(x) = x2 satisfies the hypotheses of the MVT on the interval [0,3] and find each value c that satisfies the MVT.

7. Example
Show satisfies the hypotheses of the MVT on the interval [0,9] and find each value c that satisfies the MVT.

9. Homework
Finish worksheet