## Section 4.3 - How Derivatives Affect the Shape of the Graph

**Section Details:**
- Using the first derivative to determine where a function is increasing and decreasing
- Using the First Derivative Test to find the local maximums and local minimums of a function
- Using the second derivative to determine where a function is concave upward and concave downward and to find all inflection points
- Using the Second Derivative Test to find the local maximums and local minimums of a function

What the derivatives of a function tell us about the shape of its graph

Using derivatives to find properties of graphs

Mean Value Theorem and properties of a graph