MVT relates the average rate of change to the derivative at a point. It is extremely important.
Rolle's Theorem is a consequence of MVT and should not be memorized.
The First Derivative Test is much more important than the Second Derivative Test in determining relative extrema, but both can be used
The second derivative deals with concavity.
View Section 3.1 →
View Section 3.2 →
View Section 3.3 →
View Section 3.4 →
View Section 3.5 →
View Section 3.6 →
View Section 3.7 →
See Sohalski or your textbook for chapter review